Peter L. Christiansen:
PUBLICATIONS

Theses

Ph.D. Thesis

  • Peter Leth Christiansen, "Scattering of Short Electromagnetic and Elastic Waves by a Circular Cylinder in Which Both Longitudinal and Transverse Modes are Excited", Laboratory of Applied Mathematical Physics, The Technical University of Denmark, Report No. 1, 1-107 (1965).

    Dr. techn. Thesis

  • Peter Leth Christiansen, "Comparative Studies of Diffraction Processes", Polyteknisk Forlag, Lyngby, Denmark, 14 + 241 pp. (1975).

    Edited books and journal issues

    1. Structure, coherence and chaos in dynamical systems (eds. P.L. Christiansen and R.D. Parmentier), Proceedings in Nonlinear Science, Manchester University Press, Manchester, 663 pp.(1989).
    2. Davydov's Soliton Revisited (eds. P.L. Christiansen and A.C. Scott), Proceedings from the NATO/MIDIT Advanced Research Workshop held at Hanstholm, Denmark, July 31 - August 5, 1989, NATO ASI Series B: Physics Vol. 243, Plenum Press, New York, 13+531 pp. (1991).
    3. Future Directions of Nonlinear Dynamics and Biological Systems (eds. P.L. Christiansen, J.C. Eilbeck and R. D. Parmentier), NATO/MIDIT Advanced Research Workshop held at The Technical University of Denmark, July 23 -August 1, 1992, Plenum Press, New York, 15+557 pp. (1993).
    4. Future Directions of Nonlinear Dynamics in Physical and Biological Systems (eds. P.L. Christiansen, J.C. Eilbeck and R.D. Parmentier), Physica D 68, 1-186 (1992).
    5. Nonlinear Dynamic Phenomena in Physical, Chemical and Biological Systems (eds. E. Mosekilde and P.L. Christiansen), Mathematics and Computers in Simulation 40, 155-489 (1996). Also preprint: Proceedings from Third International IMACS Conference on Computational Physics, August 1-4 1994, The Technical University of Denmark, IMACS Secretariat, Piscataway, NJ, USA, 9+268 pp. (1994).
    6. Complex Dynamics in Spatially Extended Systems (eds. E. Mosekilde, T. Bohr, J. J. Rasmussen and P. L. Christiansen) Proceedings of the International Conference held at Niels Bohr Institute, Copenhagen 27-30 September 1995, Physica Scripta T 67, 5-187 (1996).
    7. Nonlinear Science at the Dawn of the 21st Century (eds. P.L. Christiansen and M. P. Sørensen) (in preparation).
    8. Proceedings from Solitons and Coherent Structures in Physics and Biology (eds. P. L. Christiansen and M. P. Sørensen) held at The Technical University of Denmark, May 30 - June 3, 1997 (to appear on www).

    Papers in refereed scientific journals

    Nonlinear waves

    1. P.L. Christiansen, "Resonant Interaction Approach and Slowly Varying Approach in Nonlinear Wave Propagation", Alta Frequenza 38, 211-215 (1969).
    2. P.L. Christiansen and Y.M. Chen, "Application of a Modified Newton's Iteration Method to Construct Solutions of Eigenvalue Problems of Nonlinear Partial Differential Operators", SIAM J. Appl. Math.18, 335-345 (1970).
    3. M.P. Sørensen, P.L. Christiansen and P.S. Lomdahl, "Solitary Waves on Nonlinear Elastic Rods. I" , J. Acoust. Soc. Amer. 76, 871-879 (1984).
    4. P.L. Christiansen, "Aspects of Modern Nonlinear Dynamics: Solitons and Chaos Phenomena", Radio Science 19, 1124-1130 (1984).
    5. M.P. Sørensen, P.L. Christiansen, P.S. Lomdahl, and O. Skovgaard, "Solitary Waves on Non-Linear Elastic Rods. II" , J. Acoust. Soc. Amer. 81, 1718-1722 (1987).
    6. P.L. Christiansen, V. Muto and S. Rionero, "Solitary Wave Solutions to a System of Boussinesq-like Equations", Chaos, Solitons and Fractals 2, 45-50 (1992).
    7. V. Muto, P.L. Christiansen and P.S. Lomdahl, "Periodic travelling wave solutions of a set of coupled Boussinesq-like equations", Phys. Lett. A 162, 453-456 (1992).
    8. J. Trandum, P.L. Christiansen, Yu.B. Gaididei, V. Muto, and M.F. Jørgensen, "New Solutions of a Set of Coupled Improved Boussinesq Equations", Bulletin of the Technical University of Istanbul 47, 121-126 (1994).
    9. P.D. Miller and P.L. Christiansen, "A Coupled Korteweg-de Vries System and Mass Exchanges Among Solitons" (submitted).

    Chaos and quantum chaology

    1. H. Skjolding, B. Branner-Jørgensen, P.L. Christiansen and H.E. Jensen, "Bifurcations in Discrete Dynamical Systems with Cubic Maps", SIAM J. Appl. Math. 43, 520-534 (1983). 49-58 (1983).
    2. M. Bartuccelli, P.L. Christiansen, N.F. Pedersen and M. Salerno, "Horseshoe Chaos" in the Space-Independent Double Sine-Gordon System", Wave Motion 8, 581-594 (1986).
    3. M. Bartuccelli, P.L. Christiansen, V. Muto, M.P. Sørensen and N.F. Pedersen, "Chaotic behaviour of a pendulum with variable length", Il Nuovo Cimento B 100, 229-249 (1987).
    4. M. Bartuccelli, P.L. Christiansen, V. Muto, and N.F. Pedersen, "Sequence of subharmonic bifurcations and chaos in perturbed anharmonic systems", Il Nuovo Cimento D 12, 1093-1108 (1990).
    5. L. Cruzeiro-Hansson, H. Feddersen, R. Flesch, P.L. Christiansen, M. Salerno, and A.C. Scott, "Classical and Quantum Analysis of Chaos in the Discrete Self-Trapping Equation", Phys. Rev. B. 42, 522-526 (1990).
    6. H.K. Feddersen, R. Flesch, M. Salerno, and P.L. Christiansen, "Comment on Theory of the Liapunov Exponents of Hamiltonian Systems and a Numerical Study on the Transition from Regular to Irregular Classical Motion", J. Chem. Phys. 92, 2117-2118 (1990).
    7. H.K. Feddersen, P.L. Christiansen and M. Salerno, "Quantum Chaology in the Discrete Self-Trapping Equation in the Presence of Arnol'd Diffusion" Physica Scripta 43, 353-355 (1991).
    8. D. Hennig, H. Gabriel, M.F. Jørgensen, P.L. Christiansen and C.B. Clausen, "Homoclinic chaos in the DST trimer", Phys. Rev. E 51, 2870-2876 (1995).

    Coherent structures and collapse

    1. P.S. Lomdahl, O.H. Olsen and P.L. Christiansen, "Return and Collapse of Solutions to the Nonlinear Schrödinger Equations in Cylindrical Symmetry", Physics Letters A 78 , 125-128 (1980).
    2. P.L. Christiansen, S. Pagano, and G. Vitiello, "The Lifetime of Coherent Excitations in Langmuir-Blodgett Scheibe Aggregates", Phys. Lett. A 154, 381-384 (1991).
    3. P.L. Christiansen, O. Bang, S. Pagano, and G. Vitiello, "The Lifetime of Coherent Excitations in Continuous and Discrete Models of Scheibe Aggregates", Nanobiology 1, 229-237 (1992).
    4. E.A. Christensen, J.N. Sørensen, M. Brøns and P.L. Christiansen, "Low Dimensional Representations of Early Transition in Rotating Fluid". Theoret. Comput. Fluid Dynamics 5 259-267 (1993).
    5. O. Bang, P.L. Christiansen, F. If, K. Ø. Rasmussen, and Yu.B. Gaididei, "White noise in the two-dimensional nonlinear Schrödinger equation", Applicable Analysis 57, 3-15 (1995).
    6. O. Bang, P.L. Christiansen, F. If, K. Ø. Rasmussen, and Yu.B. Gaididei, "Temperature effects in a nonlinear model of monolayer Scheibe aggregates", Phys. Rev. E 49 4627-4636 (1994).
    7. K.Ø. Rasmussen, O. Bang and P.L. Christiansen, "Driving and collapse in a nonlinear Schrödinger equation". Phys. Lett. A 184, 241-244 (1994).
    8. K.Ø. Rasmussen, O. Bang, Yu.B. Gaididei and P.L. Christiansen, "The Influence of Noise on Critical Collapse in a Nonlinear Schrödinger Equation" Phys. Lett. A 204, 121-127 (1995).
    9. P.L. Christiansen, K.Ø. Rasmussen, O. Bang, Yu.B. Gaididei, "The temperature-dependent collapse regime in a nonlinear dynamical model of Scheibe aggregates", Physica D 87, 321-324 (1995).
    10. Yu.B. Gaididei, K.Ø. Rasmussen and P.L. Christiansen, "Dipole-like nonlinear excitations in an inhomogeneous two-dimensional system", Phys. Lett. A 203, 175-180 (1995).
    11. P.L. Christiansen, Yu.B. Gaididei, M. Johansson, K.Ø. Rasmussen and I.I. Yakimenko, "Collapse of solitary excitations in the nonlinear Schrödinger equation with nonlinear damping and white noise", Phys. Rev. E 54, 924-930 (1996).
    12. K.Ø. Rasmussen, Yu.B. Gaididei, O. Bang, and P.L. Christiansen, "Nonlinear and stochastic modelling of energy transfer in Scheibe aggregates", Mathematics and Computers in Simulation 40, 339-358 (1996).
    13. P.L. Christiansen, Yu.B. Gaididei, M. Johansson, K.Ø. Rasmussen, D. Usero, and L. Vazquez, "Stabilization of nonlinear excitations by disorder", Phys. Rev. B 56, 14407-14413 (1997).
    14. Yu.B. Gaididei, D. Henriksen, P. L. Christiansen, and K.Ø. Rasmussen, "Stationary states of the two-dimensional Schrödinger model with disorder", Phys. Rev. B 58, 3075-3081 (1998).
    15. Yu. B. Gaididei, J. Schjødt-Eriksen, P. L. Christiansen, and K. Ø. Rasmussen, "Collapse arresting in an inhomogeneous quintic nonlinear Schrödinger model" (accepted).

    Nonlinear optics

    1. H.E. Lassen, F. Mengel, B. Tromborg, N.C. Albertsen and P.L. Christiansen, "Evolution of chirped pulses in nonlinear single-mode fibers", Optics Letters 10, 34-36 (1985).
    2. F. If, P.L. Christiansen, J.N. Elgin, J.D. Gibbon and O. Skovgaard, "A Theoretical and Computational Study of the Soliton Laser", Optics Comm. 57, 350-354 (1986).
    3. F. If, P.L. Christiansen, J.N. Elgin, J.D. Gibbon and O. Skovgaard, "A numerical model of the soliton laser", Physica 23 D, 362-369 (1986).
    4. F. If, P. Berg, P.L. Christiansen, and O. Skovgaard, "Split-step spectral method for nonlinear Schrödinger equation with absorbing boundaries", J. Comp. Phys. 72, 501-503 (1987).
    5. J. Mørk, P.L. Christiansen, H.E. Lassen and B. Tromborg, "The evolution of solitons from chirped and noisy pulses in single-mode fibres", IEE Proc. 134, Pt. J, 127-134 (1987).
    6. P. Berg, F. If, P.L. Christiansen and O. Skovgaard, "Soliton Laser: A Computational Two-Cavity Model", Phys. Rev. A 35, 4167-4174 (1987).
    7. N.H. Jensen, P.L. Christiansen and O. Skovgaard, "On period doubling bifurcations in semiconductor lasers", IEE Proceedings 135, Part J, 285-288 (1988).
    8. J. Mørk, B. Tromborg and P.L. Christiansen, "Bistability and low frequency fluctuation in semiconductor lasers with optical feedback: A Theoretical Analysis", IEEE J. Quantum Electron. 24, 123-133 (1988).
    9. N.H. Jensen, P.L. Christiansen and O. Skovgaard, "Effect of Gain Nonlinearity in Semiconductor Lasers", Phys. Rev. B 38, 8219-8225 (1988).
    10. J. Mørk, P.L. Christiansen and B. Tromborg, "Limits of stable operation of AR-coated semiconductor lasers with strong feedback", Electronics Letters 24, 1065-1066 (1988).
    11. T. Geisler, P.L. Christiansen, J. Mørk, and P.S. Ramanujam, "Split- Step Spectral Method for Nonlinear Schrödinger Equation with Constant Background Intensities", J. Comp. Phys. 86, 492-495 (1990).
    12. N. Grønbech-Jensen, P.L. Christiansen and P.S. Ramanujam, "Phase properties of squeezed states", J. Opt. Soc. Amer. B 6, 2423-2429 (1989).
    13. R.M. Abrarov, P.L. Christiansen, S.A. Darmanyan, A.C. Scott, and M.P. Sørensen, "Soliton Propagation in Three Coupled Nonlinear Schrödinger Equations", Phys. Lett. A171, 298-302 (1992).
    14. M.P. Sørensen, K.A. Shore, T. Geisler, P.L. Christiansen, J. Mørk, and J.Mark, "Dynamics of Additive Pulse Mode-Locked of Fibre Lasers", Optics Communications 90, 65-69 (1992).
    15. T. Geisler, K.A. Shore, M.P. Sørensen, P.L. Christiansen, J. Mørk, and J. Mark, "Nonlinear fiber external cavity mode locking of erbium-doped fiber lasers", J. Opt. Soc. Amer. B 10, 1166-1174 (1993).
    16. F. Kh. Abdullaev, S. A. Darmanyan, S. Bischoff, P.L. Christiansen and M.P. Sørensen, "Modulational instability in optical fibers near the zero dispersion point". Opt. Comm. 108, 60-64 (1994).
    17. P.L. Christiansen, J.C. Eilbeck, V.Z. Enol'skii and N.A. Kostov, "Quasi-periodic Solutions of the Coupled Nonlinear Schrödinger Equations", Roy.Soc.London.Ser.A: Mathematical and Physical Series 451, 685-700 (1995).
    18. P. Nguyen, P. Skovgaard, P.L. Christiansen and M.P. Sørensen, "Solitons in Fiber Lasers and Mode-Locked Systems", Chaos, Solitons, and Fractals 5, 2465-2473 (1995).
    19. C. Balslev Clausen, P.L. Christiansen, and L. Torner, "Perturbative approach to the interaction of solitons in quadratic nonlinear media", Opt. Comm. 136, 185-192 (1997).
    20. C. Balslev Clausen, O. Bang, Yu. S. Kivshar, and P.L. Christiansen, "Effect of fluctuating phase mismatch on spatial solitons in quadratic media", Opt. Lett. 22, 271-273 (1997).
    21. L. Bergé, M.R. Schmidt, J. Juul Rasmussen, P.L. Christiansen, and K.Ø. Rasmussen, "Amalgamation of interacting light beamlets in Kerr-type media", J. Opt. Soc. Am. B 14, 2550-2562 (1997).
    22. O. Bang, P.L. Christiansen, and C. Balslev Clausen, "Stationary solutions and self-trapping in discrete quadratic nonlinear systems", Phys. Rev. E 56, 7257-7266 (1997).
    23. M. Quiroga-Teixeiro, C. Balslev Clausen, M.P. Sørensen, P.L. Christiansen, and P.A. Andrekson, "Passive mode-locking by dissipative four wave mixing" J. Opt. Soc. Am. B 15, 1-7 (1998).
    24. J. Schjødt-Eriksen, M. R. Schmidt, J. Juul Rasmussen, P. L. Christiansen, Yu. B. Gaididei, and L. Bergé, "Two-beam interaction in saturable media", Physics Lett. A 246, 423-428 (1998).
    25. V. V. Konotop, M. D. Cunha, P. L. Christiansen, and C. Balslev Clausen, Three-wave interaction in two-component quadratic nonlinear lattices", Phys. Rev. E (accepted).
    26. C. Balslev Clausen, P. L. Christiansen, L. Torner, and Yu. B. Gaididei, "Engineered nonlinear lattices" (submitted).
    27. Ole Bang, C. Balslev Clausen, P. L. Christiansen, and L. Torner " Engineering competing nonlinearities ", Optics Lett. (accepted).
    28. Yu. B. Gaididei and P. L. Christiansen, "Spatiotemporal collapse in nonlinear waveguides with randomly fluctuating refractive index", Optics Letters 23, 1090-1092 (1998).
    29. C. Balslev Clausen, Yuri B. Kivshar, Ole Bang, and P. L. Christiansen, "Quasiperiodic Envelope Solitons" (submitted).
    30. L. Bergé, P. L. Christiansen, Yu. B. Gaididei, J. Juul Rasmussen, and V. K. Mezentsev, "Self-Focusing and Self-Guiding in Layered Media" (in progress).
    31. J. Schjødt-Eriksen, J. V. Moloney, E. M. Wright, P. L. Christiansen, and Q. Feng, "Polarization Instability of Femtosecond Pulse-Splitting in Normally Dispersive Self-Focusing Media" (in progress).
    32. P. L. Christiansen, J. C. Eilbeck, V. Z. Enolskii, and N. A. Kostov, "Quasi-periodic and periodic solutions for systems of coupled nonlinear Schrödinger equations" (submitted).

    Sine-Gordon systems and fluxon-based electronic superconducting components

    1. P.L. Christiansen and O.H. Olsen, "On Dynamical Two-Dimensional Solutions to the Sine-Gordon Equation", Zeitschrift für angewandte Mathematik und Mechanik 59, 3, T 30 - T 31 (1979).
    2. P.L. Christiansen and O.H. Olsen, "Return Effect for Rotationally Symmetric Solitary Wave Solutions to the Sine-Gordon Equation", Physics Letters 68 A, 185-188 (1978).
    3. P.L. Christiansen and O.H. Olsen, "Ring-Shaped Quasi-Solitons to the Two and Three-Dimensional Sine-Gordon Equation", Physica Scripta 20, 531 -538 (1979).
    4. P.L. Christiansen, "Application of a New Bäcklund Transformation for the 3+1 Dimensional Sine-Gordon Equation", Zeitschrift für angewandte Mathematik und Mechanik 60, T 242 - T 243 (1980).
    5. P.L. Christiansen and O.H. Olsen, "Fluxons on a Josephson Line with Loss and Bias", Wave Motion 2, 185-196 (1980).
    6. P.L. Christiansen and O.H. Olsen, "Reflection of Fluxons on a Josephson Line Cavity", Physica D 1, 412-419 (1980).
    7. P.L. Christiansen and O.H. Olsen, "Propagation of Fluxons on a Josephson Line with Impurities", Wave Motion 4, 163-172 (1982).
    8. P.L. Christiansen and P. Lomdahl, "Numerical Study of 2 + 1 Dimensional Sine-Gordon Solitons", Physica D 2, 482-494 (1981).
    9. P.L. Christiansen, P. Lomdahl and N.J. Zabusky, "Tunable Oscillator Using Pulsons on Large-Area Lossy Josephson Junctions" , Appl. Physics Letters 39, 170-172 (1981).
    10. P.L. Christiansen, P.S. Lomdahl, A.C. Scott, O.H. Sørensen, and J.C. Eilbeck, "Internal Dynamics of Long Josephson Junction Oscillators", Appl. Physics Letters 39, 108-110 (1981).
    11. P.S. Lomdahl, O.H. Sørensen, P.L. Christiansen, A.C. Scott, and J.C. Eilbeck, "Multiple Frequency Generation by Bunched Solitons in Josephson Tunnel Junctions" , Phys. Rev. B 24, 7460-7462 (1981).
    12. O.H. Sørensen, P.S. Lomdahl and P.L. Christiansen, "Fluxon Dynamics in Intermediate Length Josephson Tunnel Junctions", Physica B + C 108, 1299-1300 (1981).
    13. P.S. Lomdahl, O.H. Sørensen and P.L. Christiansen, "Soliton Dynamics and Zero Field Steps in Josephson Tunnel Junctions", Physica Scripta 25, 879-881 (1982).
    14. P.S. Lomdahl, P.L. Christiansen and O.H. Sørensen, "Soliton Excitations in Josephson Tunnel Junctions", Phys. Rev., B25, 5737-5748 (1982).
    15. T.H. Sørensen, P.L. Christiansen and P.S. Lomdahl, "An Approximate Theory for Bunched Solitons on Finite Josephson Junctions", Phys. Lett. A 89, 308-309 (1982).
    16. M. Salerno, M.P. Sørensen, O. Skovgaard and P.L. Christiansen, "Perturbation Theories for Sine-Gordon Soliton Dynamics", Wave Motion 5, 49-58, (1983)
    17. M.P. Sørensen, P.L. Christiansen, R.D. Parmentier, and O.Skovgaard, "Subharmonic Generation in Josephson Junction Fluxon Oscillators Biased on Fiske Steps" , Appl. Phys. Lett. 42, 739-741 (1983).
    18. F. If, M.P. Sørensen and P.L. Christiansen, "Fluxon Dynamics on the Circular Josephson Oscillator", Phys. Lett. A 100, 68-70 (1984).
    19. M.P. Sørensen, N. Arley, P.L. Christiansen, R.D. Parmentier, and O. Skovgaard, "Intermittent Switching Between Soliton Dynamic States in Perturbed Sine-Gordon Model", Phys. Rev. Lett. 51, 1919-1922 (1983).
    20. M.P. Sørensen, R.D. Parmentier, P.L. Christiansen, O. Skovgaard, B. Dueholm, E. Jørgensen, V.P. Koshelets, O.A. Levring, R. Monaco, J. Mygind, N.F. Pedersen, and M.R. Samuelsen, "Magnetic Field Dependence of Microwave Radiation in Intermediate Length Josephson Junctions", Phys. Rev. B 30, 2640-2648 (1984).
    21. M.P. Sørensen, M. Bartuccelli, P.L. Christiansen and A.R. Bishop, "On the Low-Dimensional Chaos in RF Squids", Phys. Lett. 109 A, 347-351 (1985).
    22. F. If, P.L. Christiansen, R.D. Parmentier, O. Skovgaard, and M.P. Sørensen, "Simulation Studies of radiation linewidth in circular Josephson-Junction fluxon oscillators", Phys. Rev. B 32, 1512-1518 (1985).
    23. M. Bartuccelli, P.L. Christiansen, M.P. Sørensen, and N.F. Pedersen, "Prediction of chaos in Josephson junction by the Melnikov function technique", Phys. Rev. B 33, 4686-4691 (1986).
    24. S. Pagano, M.P. Sørensen, R.D. Parmentier, P.L. Christiansen and O. Skovgaard, "Switching between dynamic states in intermediate-length Josephson junctions", Phys. Rev. B 33, 174-182 (1986).
    25. M. Fordsmand, P.L. Christiansen and F. If, "Perturbation theory for radiation linewidth in circular Josephson-junction oscillators" , Phys. Lett. A 116 , 71-72 (1986).
    26. P.L. Christiansen, "Stability of dynamic states in Josephson junctions", Physica D 23, 68-72 (1986).
    27. S. Pagano, M.P. Sørensen, P.L. Christiansen and R.D. Parmentier, "Stability of Fluxon Motion in Long Josephson Junctions at High Bias", Phys. Rev. B 38, 4677-4687 (1988).
    28. M.G. Forest, S. Pagano, R.D. Parmentier, P.L. Christiansen, M.P. Sørensen, and S.-P. Sheu, "Numerical Evidence for Global Bifurcations Leading to Switching Phenomena in Long Josephson Junctions", Wave Motion 12, 213-226 (1990).
    29. G. Filatrella, R.D. Parmentier, S. Pagano, P.L. Christiansen, M.P. Sørensen and N. Grønbech-Jensen, "On the switching between soliton dynamic states in long Josephson junctions", Phys. Lett. A 172, 127-130 (1992).
    30. T. Pavlopoulos, P.L. Christiansen and M.P. Sørensen, "Double Phase Transition in High Tc-Superconductors". Z. Phys. B 91, 43-46 (1993).
    31. P.L. Christiansen, N. Grønbech-Jensen, P.S. Lomdahl, and B.A. Malomed, "Oscillations of eccentric pulsons", Physica Scripta 55, 131-134 (1997).
    32. A.G. Maksimov, N.F. Pedersen, P.L. Christiansen, Ja.I. Molkov and V.I. Nekorkin, "On kink-dynamics of the perturbed sine-Gordon equation", Wave Motion 23, 203-213 (1996).
    33. A. Petraglia, N.F. Pedersen, P.L. Christiansen, and A.V. Ustinov, "Comparative dynamics of two-dimensional shorted arrays and continuous stacked Josephson junctions", Phys. Rev. B 55, 8490-8496 (1997).
    34. C. Gorria, A. Bisgaard, P.L. Christiansen, Yu. B. Gaididei, and M. P. Sørensen, "Internal Instability in the Fluxon Dynamics of Stacked Josephson Junctions" (in progress).

    Lattice dynamics and molecular dynamics

    1. J.H. Jensen, P.L. Christiansen, N.J. Elgin, J.D. Gibbon, and O. Skovgaard, "Correlation Exponents for Trajectories in the Low-Dimensional Discrete Selftrapping Equation", Phys. Lett. A 110, 429-431 (1985).
    2. L. Cruzeiro-Hansson, P.L. Christiansen and J.N. Elgin, "Comment on "Self-trapping on a dimer: Time dependent solutions of a discrete non- linear Schrödinger equation", Phys. Rev. B 37, 7896-7897 (1988).
    3. P.L. Christiansen, "On a Generalized Discrete Self-Trapping Equation", J. Molecular Liquids. 41, 113-121 (1989).
    4. A.C. Scott and P.L. Christiansen, "A Generalized Discrete Self-Trapping Equation" Physica Scripta 42, 257-262 (1990).
    5. P.L. Christiansen, P.S. Lomdahl and V. Muto, "On a Toda Lattice Model with a Transversal Degree of Freedom", Nonlinearity 4, 477-501 (1990).
    6. N. Østergaard, P.L. Christiansen and O. Faurskov Nielsen, "Ab Initio Investigation of Vibrations in Free and Hydrogen Bonded Formamide", J. Molecular Structure (Theochem) 235, 423-446 (1991).
    7. O. Bang and P.L. Christiansen, "A Discrete Anisotropic Model for Scheibe Aggregates", Le Matematiche XLVI, 29-40 (1991).
    8. M.F. Jørgensen and P.L. Christiansen, "Hamiltonian structure for a modified discrete self-trapping dimer". Chaos, Solitons, and Fractals 4, 217-225 (1994).
    9. O. Bang, J. Juul Rasmussen and P.L. Christiansen, "Subcritical localization in the discrete nonlinear Schrödinger equation with arbitrary power nonlinearity", Nonlinearity 7, 205-218 (1994).
    10. O. Bang, J. Juul Rasmussen and P.L. Christiansen, "On Localization in the discrete nonlinear Schrödinger equation", Physica D 68, 169-173 (1993).
    11. M. F. Jørgensen, P.L. Christiansen and I. Abou-Hayt, "On a modified discrete self-trapping dimer". Physica D 68, 180-184 (1993).
    12. P.L. Christiansen, M. F. Jørgensen and V. B. Kuznetsov, "On integrable systems close to the Toda lattice". Lett. Math. Phys. 29, 165-173 (1993).
    13. Yu. B. Gaididei, P.L. Christiansen and S.F. Mingaleev, "Bound states of envelope and Boussinesq solitons in anharmonic lattices". Physica Scripta 51, 290-299 (1995).
    14. P.L. Christiansen, M. Hays, M.F. Jørgensen, and A.C. Scott, "Quantizing a rotating wave" Physics Letters A 201, 407-412 (1995).
    15. V.B. Kuznetsov, M.F. Jørgensen and P.L. Christiansen, "New Boundary Conditions for Integrable Lattices", Journal of Physics, Math. Gen. 28, 4639-4653 (1995).
    16. Yu.B. Gaididei, K.Ø. Rasmussen and P.L. Christiansen, "Nonlinear excitations in two-dimensional molecular structures with impurities", Phys. Rev. E 52, 2951-2962 (1995).
    17. Yu.B. Gaididei, S.F. Mingaleev, P.L. Christiansen and K.Ø. Rasmussen, "Effect of nonlocal dispersion on self-interacting excitations", Phys. Lett. A 222, 152-156 (1996).
    18. V.M. Kenkre, M.F. Jørgensen, and P.L. Christiansen, "Exponential Nonlinearity and Saturation in Quantum Nonlinear Dimers", Physica D 90, 280-292 (1996).
    19. M.F. Jørgensen and P.L. Christiansen, "Self-trapping and blow-up in integrable dimers", J. Phys. A: Math. Gen. 31, 969-976 (1998).
    20. P.L. Christiansen, Yu.B. Gaididei, K.Ø. Rasmussen, V.K. Mezentsev and J.Juul Rasmussen, "Dynamics in discrete two-dimensional nonlinear Schrödinger equations in the presence of point defects", Phys. Rev. B 54, 900-912 (1996).
    21. D. Ellinas, M. Johansson, and P.L. Christiansen, "Quantum nonlinear lattices and coherent state vectors", Physica D (accepted).
    22. P.L. Christiansen, A.V. Savin, and A.V. Zolotaryuk, "Zig-zag version of the Frenkel-Kontorova model", Phys. Rev. B 54, 12892-12902 (1996).
    23. A.V. Zolotaryuk, P.L. Christiansen and A.V. Savin, "Two-dimensional dynamics of a free molecular chain with secondary structure" , Phys. Rev. E 54, 3881-3894 (1996).
    24. P.L. Christiansen, Yu.B. Gaididei, M. Johansson, and K.Ø. Rasmussen, "Breatherlike excitations in discrete lattices with noise and nonlinear damping", Phys. Rev. B 55, 5759-5766 (1997).
    25. P.L. Christiansen, A.V. Savin, and A. V. Zolotaryuk, "Soliton Analysis in Complex Molecular Systems: A Zig-Zag Chain", J. Comp. Phys. 134, 108-121 (1997).
    26. Yu.B. Gaididei, P.L. Christiansen, K.Ø. Rasmussen, and M. Johansson "Two-dimensional effects in nonlinear Kronig-Penney models", Phys. Rev. B 55, R13-365-368 (1997).
    27. P.L. Christiansen, P. Maniadis, and G.P. Tsironis, "Exact solution of a generalized Schrödinger equation dimer", Physica Scripta 57, 192-94 (1998).
    28. Yu.B. Gaididei, S.F. Mingaleev, P.L. Christiansen, and K.Ø. Rasmussen, "Effects of nonlocal dispersive interactions on self-trapping excitations" Phys. Rev. E 55, 6141-6149 (1997).
    29. K.Ø. Rasmussen, P.L. Christiansen, M. Johansson, Yu.B. Gaididei, and S.F. Mingaleev, "Localized excitations in discrete nonlinear Schrödinger systems: Effects of nonlocal dispersive interactions and noise", Physica D 113, 134-151 (1998).
    30. P.L. Christiansen, Yu.B. Gaididei, M. Johansson, K.Ø. Rasmussen, V.K. Mezentsev, and J. Juul Rasmussen, "Solitary excitations in discrete two-dimensional nonlinear Schrödinger models with dispersive dipole-dipole interactions", Phys. Rev. B 57, 11303-11318 (1998).
    31. M. Johansson, Yu.B. Gaididei, P.L. Christiansen, and K.Ø. Rasmussen, "Switching between bistable states in a discrete nonlinear model with long-range interaction", Phys. Rev. E 57, 4739-4742 (1998).
    32. M. Johansson, S. Aubry, Yu.B. Gaididei, P. L. Christiansen, and K.Ø. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models", Physica D 119, 115-124 (1998).
    33. P.L. Christiansen, A. V. Savin, and A. V. Zolotaryuk, "Topological solitons and dislocations in two- and three-dimensional anisotropic crystals", Phys. Rev. B 57 13564-13572 (1998).
    34. Y. Zolotaryuk, A. V. Savin, and P. L. Christiansen, "Solitary plane waves in an isotropic hexagonal lattice", Phys. Rev. B 57 14213-14227 (1998).
    35. Y. Zolotaryuk, P. L. Christiansen, J. Juul Rasmussen, "Polaron dynamics in a 2D anharmonic Holstein model", Phys. Rev. B 58, 14305-14319 (1998).
    36. Yu. B. Gaididei, S. F. Mingaleev, and P. L. Christiansen," Curvature-induced symmetry breaking in nonlinear Schrödinger models " (submitted).
    37. A. V. Zolotaryuk, P. L. Christiansen, B. Nordén, A. V. Savin, and Y. Zolotaryuk, "The pendulum as a model system for driven rotation in molecular nanoscale machines" (submitted).
    38. A. V. Savin, L. I. Manevitch, P. L, Christiansen, and A. V. Zolotaryuk "Nonlinear Dynamics of zigzag molecular chains", Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences 169, 255-270 (1999) (in Russian); Physics-Uspekhi (to appear).
    39. P. L. Christiansen, J. M. Khalack, A. V. Savin, and A. V. Zolotaryuk, " Toplogical defects in three-dimensional anisotropic crystal" (in progress).

    Biophysics and biomolecular dynamics

    1. J.H. Jensen, P.L. Christiansen, A.C. Scott, and O. Skovgaard, "Chaos on the Beeler-Reuter System for the Action Potential of Ventricular Myocardial Fibres", Physica D 13, 269-277 (1984).
    2. J.H. Jensen, P.L. Christiansen, O. Skovgaard, O. Faurskov Nielsen and Irving J. Bigio, "Experimental and Computational Study of N-Methylacetamide", Phys. Lett. A 117, 123-126 (1986).
    3. G. Careri, E. Compatangelo, P.L. Christiansen, J. Halding, and O. Skovgaard, "On the dielectric constant for acetanilide: Experimental measurements and effect on energy transport", Physica Scripta 35, 64-66 (1986).
    4. L . Cruzeiro, J.H. Jensen, P.L. Christiansen, A.C. Scott, and O. Skovgaard, "Temperature Effects on the Davydov Soliton", Phys. Rev. A 37, 880-887 (1988).
    5. V. Muto, J. Halding, P.L. Christiansen and A.C.Scott, "Solitons in DNA", J. Biomolecular Structure and Dynamics 5, 873-894 (1988).
    6. V. Muto, A.C. Scott and P.L. Christiansen, "Thermally Generated Solitons in a Toda Lattice Model of DNA" Phys. Lett. A 136, 33-36 (1989).
    7. V. Muto, A.C. Scott and P.L. Christiansen, "A Toda Lattice Model for DNA: Thermally Generated Solitons", Physica D 44, 75-91 (1990).
    8. V. Muto, A.C. Scott and P.L. Christiansen, "Microwave and Thermal Generation of Solitons in DNA", J. de Physique, Colloque C3, 50 C3-217-222 (1989).
    9. P.S. Lomdahl, V. Muto and P.L. Christiansen, "A two-dimensional discrete model for DNA dynamics: Longitudinal wave propagation and denaturation, Phys. Rev. A 42, 7452-7458 (1990)
    10. H. Feddersen, P.L. Christiansen and M.P. Sørensen, "Global Bifurcations in the Fitzhugh-Nagumo Equations for Nerve Wave Propagation", J. Biological Phys. 17, 271-280 (1990).
    11. P.L. Christiansen, J.C. Eilbeck, V.Z Enol'skii, and Yu.B. Gaididei, "On Ultrasonic Davydov Solitons and the Hénon-Heiles System". Phys. Lett. A 166, 129-134 (1992).
    12. P.L. Christiansen and V. Muto, "Nonlinear models of DNA dynamics", Physica D 68, 93-96 (1993).
    13. P.L. Christiansen, Yu. B. Gaididei, J. C. Eilbeck, V. Z. Enol'skii, "Ultrasonic charge density waves and the Hénon-Heiles system", Ukrainian Fiz. Jurn. 37, 1887-1892 (1992). (In Russian).
    14. J.A. Tuszynski, P.L. Christiansen, O. Bang, and M.L.A. Nip, "The thermodynamics of exciton-self-trapping in biomolecular chains". Physica Scripta 51, 423-430 (1995).
    15. P.L. Christiansen, A.V. Zolotaryuk, and A.V. Savin, "Solitons in an isolated helix chain", Phys. Rev. E 56, 877-889 (1997).
    16. S. F. Mingaleev, P. L. Christiansen, Yu. B. Gaiddei, M. Johansson, and K. Ø. Rasmussen, " Models for Energy and Charge Transport and Storage in Biomolecules " J. Biol. Phys. 25, 41-63 (1999).
    17. B. Nordén, A. V. Zolotaryuk, and P. L. Christiansen, " Soliton Chirality and Rotatory Ratchet - Clockwork of ATP Synthase? " (submitted).

    Conference Proceedings

    Antenna and diffraction theory

    1. P.L. Christiansen, "On the Closed Form of the Array Factor for Linear Arrays", IEEE Trans. On Antennas and Propagation, (Commun.) AP-11, 198 (1963).
    2. P.L. Christiansen, "Z-Transform Theory in General Array Analysis", IEEE Trans on Antennas and Propagation, (Commun.) AP-12, 647 (1964).
    3. P.L. Christiansen, "Comparison Between Edge Diffraction Processes", Proc. of IEEE, 62, 1462-1468 (1974).
    4. N.C. Albertsen and P.L. Christiansen, "Hybrid Diffraction Coefficients for First and Second Order Discontinuities of Two-Dimensional Scatterers" , SIAM J. Appl. Math. 34, 398-414 (1978).
    5. H. Bach and P.L. Christiansen, "Numerical Investigation of Creeping Waves in Water Wave Theory", Zeitschrift für angewandte Mathematik und Mechanik 58, 7, T 357 - T 358 (1978).
    6. P.L. Christiansen, "Source and Sink Factors and Diffraction Coefficients in the Geometrical Theory of Diffraction", Wave Motion 1, 317-327 (1979).

    Nonlinear waves

    1. P.L. Christiansen, "Aspects of Modern Non-Linear Dynamics: Soliton and Chaos Phenomena", International URSI Symposium 1983, held August 23-26, 1983 at University of Santiago, Spain, Proceedings, pp. I-V (1983).
    2. P.L. Christiansen, V. Muto and M.P. Sørensen, "Solitary Waves on Nonlinear Elastic Rods", Proceedings of the 2nd IUTAM-IUPAP Symposium on Elastic Wave Propagation, Galway, Ireland, March 1988, (eds. M.F. McCarthy and M.A. Hayes), North-Holland, Amsterdam 167-172 (1989).
    3. P.L. Christiansen, S. Rionero, P.S. Lomdahl and V. Muto), "Stability of a Solitary Wave Solution to a Set of Coupled Boussinesq-Like Equations" Proc. from Meeting V "Waves and Stability in Continuous Media", Sorrento, Italy 9-14 October 1989, (ed. S. Rionero) Ser. Adv. Math. Appl. Sci. Vol. 4, World Scientific, 40-59 (1991).
    4. M.F. Jørgensen, P.L. Christiansen, S. de Lillo, and L. Cruzeiro- Hansson, "Note on a Complex Eckhaus Equation" Chaotic Dynamics: Theory and Practice, Proc. NATO ASI, Patras, Greece, July 11-20, 1991, (ed. T. Bountis) Plenum Press, New York, 71-73 (1992).
    5. P.L. Christiansen, P.S. Lomdahl, V. Muto, and S. Rionero, "Solitary waves and blow up in a system of Boussinesq-like equations" Part of Nonlinear waves in solids. Wegner, J.L.; Norwood, F.R. (Eds). ASME Book No AMR 137, 126-127 (1994).
    6. P.L. Christiansen, "Applications of Non-linear Dynamics", The Nonlinearity and the Disorder, Editorial Complutense, Madrid, Spain. L. Vazquez and S. Jimenes (Eds.) 73-83 (1996).
    7. C. Gorria, V. Muto, P.L. Christiansen, amd Yu. B. Gaididei," On a system of coupled improved Boussinesq equations", in Proceedings from Solitons and Coherent Structures in Physics and Biology (eds. P. L. Christiansen and M. P. Sørensen) held at The Technical University of Denmark, May 30 - June 3, 1997 (to appear on www).

    Chaos and quantum chaology

    1. H.K. Feddersen, L. Cruzeiro-Hansson, R. Flesch, P.L. Christiansen, M. Salerno, and A.C. Scott, "Quantum and Classical Descriptions of Chaos in the DST Equation" in "Davydov's Soliton Revisited. Self-Trapping of Vibrational Energy in Protein" (eds. P.L. Christiansen and A.C. Scott) NATO ASI Series B: Physics. Vol. 243, 505-510, Plenum (1990).
    2. P.L. Christiansen, L. Cruzeiro-Hansson, H. Feddersen, R. Flesch, M. Salerno, and A.C. Scott, "Classical and Quantum Mechanical Analysis of Order and Chaos in the Discrete Self-Trapping Equation" Proc. from Nonlinearity with Disorder, International Workshop, Tashkent USSR, Oct. 1-7, 1990 (eds. F. Abdullaev, A.R. Bishop, and S. Pnevmatikos) Springer Proceedings in Physics 67, Springer-Verlag, 58-65 (1992).

    Coherent structures and collapse

    1. P.L. Christiansen, P.S. Lomdahl, J.P. Lynov, H.L. Pécseli, J.J. Rasmussen, and K. Thomsen, "Langmuir Collapse in Magnetized Plasma", Proceedings from 1982 International Conference on Plasma Physics held in Gothenburg, Sweden, 239 (1982).
    2. P.L. Christiansen, "On Coherence and Chaos in a Physical System", Proceedings of 11th IMACS World Congress on System Simulation and Scientific Computing (eds. B. Wahlstrom, R. Henriksen, and N.P. Sundby), North-Holland, 4, 273-276 (1985).
    3. P.L. Christiansen, "Coherent Excitations in Some Physical and Biochemical Systems", 9th Dundee Conference on Ordinary and Partial Differential Equations, 1986, (eds. B.D. Sleeman and J. Jarvis) Longman Scientific and Technical, Wiley and Sons, 1-15 (1987).
    4. E.A. Christensen, J.N. Sørensen, M. Brøns and P.L. Christiansen, "Modelling of Low-Dimensional Incompressible, Viscous, Rotating Fluid Flow" in Solitons and Chaos, (eds. I. Antoniou and F.J. Lambert) Proc. of Solitons and Chaos, Springer-Verlag, 135-137 (1991).
    5. E. A. Christensen, J. N. Sørensen, M. Brøns, and P.L. Christiansen, "Low-dimensional behavior in the rotating driven cavity problem". "Future Directions of Nonlinear Dynamics in Physical and Biological Systems" (eds. P.L. Christiansen, Eilbeck, J.C., and Parmentier R.D.) Plenum Pub. Corp. NATO ASI Series B, vol. 312, 45-49 (1993).
    6. E.A. Christensen, J.N. Sørensen, M. Brøns and P.L. Christiansen, "Low-Dimensional Behaviour in the Rotating Driven Cavity Problem" in "Physics of Manifolds", (eds. M. Flato, R. Kerner, and A. Licherowicz), Klüwer Academic Publishers, Physics Studies 15, 321-330 (1994).
    7. O. Bang, P.L. Christiansen, K.Ø. Rasmussen and Yu.B. Gaididei, "The role of nonlinearity in modelling energy transfer in Scheibe aggregates", Springer-Verlag Berlin Heidelberg New York. M. Peyrard (Ed.), 317-336 (1994).
    8. P.L. Christiansen, K.Ø. Rasmussen, O. Bang and Yu.B. Gaididei, "Blow-up and Thermal Fluctuations in the nonlinear Schrödinger Equation". Fluctuation Phenomena: Disorder and Nonlinearity. Madrid, Spain. World Scientific Singapore London. A.R. Bishop, S. Jimenez, L. Vazquez (Eds.) 38-43 (1995).
    9. P.L. Christiansen, K.Ø. Rasmussen, M. Johansson, Yu.B. Gaididei and O. Bang, "On Some NLS-systems and their applications", Proc. Euroconference on Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications, San Lorenzo de El Escorial, 25-30 September, 1996. World Scientific Singapore London. L. Vazquez, L. Streit, and V.M. Perez-Garcia (Eds.) 215-233 (1996).
    10. Yu.B. Gaididei, K.Ø. Rasmussen, P.L. Christiansen and S.F. Mingaleev, "Non-local Nonlinear Schrödinger Equation." Proceedings for Nonlinear Coherent Structures in Physics and Biology, July 10-14, 1995, Heriot-Watt University, Edinburgh, Scotland. http://www.ma.hw.ac.uk/solitons/procs/rasmussen/info.html
    11. Yu.B. Gaididei, S.F. Mingaleev, I.I. Yakimenko, P.L. Christiansen, M. Johansson, and K.Ø. Rasmussen, "The nonlinear Schrödinger system: Collapse, Nonlinear damping, Noise, Impurities and Nonlocal dispersion", Physica Scripta T67, 151-159 (1996).

    Fluid dynamics

    1. J.C. Bennetsen, J.N. Sørensen, H.T. Søgaard, and P.L. Christiansen, "Numerical simulation of turbulent airflow in a livestock building", ROOMVENT '96, 5th International Conference on Air Distribution in Rooms, held July 17-19, 1996 in Yokohama, Japan. S. Murakami (Ed.) 168-176 (1996).

    Nonlinear optics

    1. P.L. Christiansen, "Solitons in Optical Fibres", Applied and Industrial Mathematics, (ed. R. Spiegler), Klüwer Academic Publishers, 263-265 (1991).
    2. A.K. Shore, T. Geisler, P.L. Christiansen, J. Mark, and J. Mørk, "Dynamics of Fibre laser with Nonlinear External Cavity" Chaotic Dynamics: Theory and Practice, Proc. from NATO ASI, Patras, Greece, July 11-20, 1991, (ed. T. Bountis) Plenum Press, New York, 243-251 (1992).
    3. M. P. Sørensen, T. Geisler, K. A. Shore, P.L. Christiansen, J. Mørk and J. Mark, "Dynamics of a fibre laser coupled to a nonlinear fibre cavity", in "Future Directions of Nonlinear Dynamics in Physical and Biological Systems" (eds. P.L. Christiansen, Eilbeck, J.C., and Parmentier R.D.) Plenum Pub. Corp. NATO ASI Series B, vol. 312, pp. 421-424 (1993).
    4. C. Balslev Clausen, P.L. Christiansen, J.H. Povlsen and K. Rottwitt, "Ellipse rotation in a stochastic fiber", Proc. Euroconference on Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications, San Lorenzo de El Escorial, 25-30 September, 1996. World Scientific Singapore London. L. Vazquez, L. Streit, and V.M. Perez-Garcia (Eds.) 345 (1996).

    Sine-Gordon systems and fluxon-based superconducting electronic components

    1. P.L. Christiansen, "A Bäcklund Transformation for the 3 + 1 Dimensional sine-Gordon Equation", Proceedings of the VIIIth International Conference on Nonlinear Oscillations, Prague, Czechoslovakia, September 1978, Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague, 1, 349-354 (1979).
    2. P.L. Christiansen, "On Bäcklund Transformations and Solutions to the 2+1 and 3+1-Dimensional Sine-Gordon Equation. Proceedings of the Fourth Schreveningen Conference on Differential Equations, The Netherlands, 43- 62 (1979).
    3. P.L. Christiansen, "Sine-Gordon Solitons", '82 Scott Russell Centenary Conference, held in Edinburgh, August 1982, 5 (1982).
    4. P.L. Christiansen, "Sine-Gordon Applications", International Conference on Solitons in Real Systems, held in Nice and Cargèse, France, June 1982, 54-56 (1982).
    5. P.L. Christiansen, "Sine-Gordon Solitons", Proceedings from Second World Conference on Mathematics at the Service of Man, held at Canary Islands, Spain, June-July 1982, 12-13 (1982).
    6. P.L. Christiansen, "Soliton Dynamic States in the Sine-Gordon System", Wave Phenomena: Modern Theory and Applications (eds. C. Rogers and T.B. Moodie), Elsevier Science Publ. B.V. North-Holland, 349-360 (1984).
    7. P.L. Christiansen, "Solitons and Chaotic Intermittency in the Sine-Gordon System Modelling the Josephson Oscillator", Chaos in Nonlinear Dynamical Systems (ed. J. Chandra), SIAM, Philadelphia, 74-85 (1984).
    8. P.L. Christiansen, "Solitons and Chaos in the Sine-Gordon System", III International Symposium on Selected Topics in Statistical Mechanics, Dubna, USSR, 1, 403-408 (1985).
    9. P.L. Christiansen, "Solitons and Chaos in the Sine-Gordon System", Dynamical Problems in Soliton Systems (ed. S. Takeno) Springer, Berlin 258-261 (1985).
    10. M.P. Sørensen, R.D. Parmentier, P.L. Christiansen, O. Skovgaard, B. Dueholm, E. Jørgensen, V.P. Koshelets, O.A. Levring, R. Monaco, J. Mygind, N.F. Pedersen, and M.R. Samuelsen, "X-band Radiation from Josephson junctions in Magnetic Fields" IEEE Trans. Magnetics MAG-21, 629-631 (1985).
    11. P.L. Christiansen, J. Mygind, S. Pagano, R.D. Parmentier, N.F. Pedersen, M.R. Samuelsen, O. Skovgaard, and M.P. Sørensen, "Switching between Dynamic States in Josephson Tunnel Junctions", Proceedings from Excitations Non Linéaires, R.C.P. 759, Seminaires Université de Dijon (1985).
    12. F. If, P.L. Christiansen, R.D. Parmentier, O. Skovgaard, and M.P. Sørensen, "Numerical Studies of Fluxon Dynamics in Annular Josephson Junction Oscillators" SQUID' 85 Proceedings 3rd International Conference on Superconducting Quantum Devices, Berlin (West), June 1985, 465-469 (1985).
    13. S. Pagano, R.D. Parmentier, M.P. Sørensen, P.L. Christiansen, O. Skovgaard, N.F. Pedersen, and J. Mygind, "Fluxon Oscillations in Intermediate-Length Josephson Junctions", SQUID' 85 Proceedings 3rd International Conference on Superconducting Quantum Devices, Berlin (West), June 1985, 513-520 (1985)
    14. P.L. Christiansen, "Solitons and Chaos in a Physical System", Atti del III Meeting "Waves and Stability in Continuous Media", Bari, October 7-12, 1985 (eds. M. Maiellaro and L. Palese), 91-95 (1989).
    15. P.L. Christiansen, "Recent Work on Josephson Tunnel Junctions Within MIDIT", "Structure, Coherence and Chaos in Dynamical Systems" (eds. P.L. Christiansen and R.D. Parmentier), Manchester University Press, 93-112 (1989).
    16. P.L. Christiansen, "Stability of sine-Gordon Solitons", Proceedings from Meeting IV "Waves and Stability in Continuous Media", Taormina, Italy, October 5-10 1987 (eds. A. Donato and S. Giambo) 19-30, (1988).
    17. P.L. Christiansen and N.F. Pedersen, "Nonlinear Dynamics of the Josephson Junction", Singular Behaviour and Nonlinear Dynamics, Proc. of International Conf. on Singular Behaviour and Nonlinear Dynamics 2, Samos, Greece 18-28 August 1988 (ed s. St. Pnevmatikos, T. Bountis and Sp. Pnevmatikos) 539-554 (1989).
    18. M.G. Forest, E.A. Overman, P.L. Christiansen, N.Grønbech-Jensen, M.P. Sørensen, R. Flesch, D.W. McLaughlin, R.D. Parmentier, and S. Pagano, "Application of the Bäcklund-transformation in the sine-Gordon System" Proc. NATO Advanced Workshop on Superconducting Devices and 2nd Workshop on Josephson Devices, September 3-7, 1990, Capri, Italy pp. 403-413 (1991).
    19. T. Pavlopoulos, P.L. Christiansen, M.P.Sørensen, P. Spathis, and N. Lazarides, "Numerical Study of Bifurcations in the BCS Gap Equation", in Chaotic Dynamics: Theory and Practice, Proc. from NATO ASI, Patras, Greece, July 11-20, 1991, (ed. T. Bountis). Plenum Press, New York, 233-242 (1992).
    20. T. Pavlopoulos, N. Lazarides, P.L. Christiansen, M. P. Sørensen and P. N. Spathis, "Nonlinearity in BCS models of high Tc- superconductors". "Future Directions of Nonlinear Dynamics in Physical and Biological Systems" (eds. P.L. Christiansen, Eilbeck, J.C., and Parmentier R.D.) Plenum Pub. Corp. NATO ASI Series B, vol. 312, pp. 359-362 (1993).
    21. A. Petraglia, N.F. Pedersen and P.L. Christiansen, "Two dimensional shorted arrays as a discretized version of the stacked junctions", 5th International Superconductive Electronics Conference, September 18-21, 1995, Nagoya Congress Center, Nagoya, Japan. 500-502 (1995).

    Lattice dynamics and molecular dynamics

    1. B.M. Pierce, N. Østergård, and O. Faurskov Nielsen and P.L. Christiansen, "Ab initio molecular orbital calculations of vibrational spectroscopic properties of the linear formamide dimer" in "Spectroscopy of Biological Molecules - State of the Art" (eds. A. Bertoluzza, C. Fagnano, and P. Monti) Proc. from 3rd European Conf. on the Spectroscopy of Biological Molecules, Rimini, Italy, Sept. 10-15, 1989, Societá editrice Esculapio, Bologna, Italy, 277-279 (1989).
    2. P.L. Christiansen, "Energy Localization in Small Biomolecules" in "Davydov's Soliton Revisited. Self-Trapping of Vibrational Energy in Protein" (eds. P.L. Christiansen and A.C.Scott) NATO ASI Series B: Physics. Vol. 243, 485-493, Plenum (1990).
    3. O. Bang and P.L. Christiansen, "A discrete selftrapping equation model for Scheibe aggregates" Proceedings from 7th Interdisciplinary Workshop in Nonlinear Coherent Structures in Physics and Biology, Dijon, France, June 4-6, 1991, (eds. M. Remoissenet and M. Peyrard) Springer-Verlag, 126-131, (1991).
    4. M. F. Jørgensen and P.L. Christiansen, "On Compact and Non-Compact Integrable Systems", Nonlinear Coherent Structures in Physics and Biology, NATO ASI Series B: Physics Vol. 329. Spatchek K.H.; Mertens, F.G. (Eds). Plenum Press, New York and London, 247-254 (1994).
    5. P.L. Christiansen, Yu.B. Gaididei, V.K. Mezentsev, S.L. Musher, K.Ø. Rasmussen, J.Juul Rasmussen, I.V. Ryzhenkova, and S.K. Turitsyn, "Discrete localized states and localization dynamics in discrete nonlinear Schrödinger equations", Physica Scripta T67, 160-166 (1996).
    6. K.Ø. Rasmussen, P.L. Christiansen, M. Johansson, and Yu.B. Gaididei, "Effects of noise on localized excitations in the discrete nonlinear Schrödinger system", Proc. Estonian Acad. Sci. Phys. Math. 46, 111-117 (1997).
    7. P.L. Christiansen, M. Johansson, K.Ø. Rasmussen, Yu.B. Gaididei, and I.I. Yakimenko, "White noise and nonlinear damping in the two-dimensional model of energy transfer in molecular systems", Progress in Industrial Mathematics at ECMI 96, B. G. Teubner, Stuttgart. M. Brøns, M. P. Bendsøe, and M. P. Sørensen (Eds.) 208-216 (1997).
    8. P. L. Christiansen, G. I. Gaididei, Yu. B. Gaididei, M. Johansson, S. F. Mingaleev, K. Ø. Rasmussen, "Effects of noise and nonlocal interactions in nonlinear dynamics of molecular systems" Proceedings of Europhysics Conference on Electronic Processes in Organic Materials (ICEPOM '98), May 18-22, 1998, Kyiv, Ukraine. Functional Materials 5, 315-318 (1998).

    Biophysics and biomolecular dynamics

    1. J.H. Jensen, P.L. Christiansen, A.C. Scott, and O. Skovgaard, "Chaos in Nerve" IASTED International Symposium Applied Control and Identification, ACI '83 held in Lyngby, Denmark, June 28 - July 1, 1983.
    2. L. Cruzeiro, P.L. Christiansen, J. Halding, O. Skovgaard, and A.C. Scott, "Temperature Stability of Davydov Solitons" "Chaos in Biological Systems", (eds. H. Degn, A.V. Holden and L.F. Olsen), Plenum Publishing Inc., 315-319 (1987).
    3. V. Muto, J. Halding, P.L. Christiansen, and A.C. Scott, "A Soliton Model for Microwave Absorption in DNA" in "Biomedical Modelling and Simulation" (eds. J. Eisenfeld and D.S. Levine), J.C. Baltzer AG, Sci.Publ. 69-71 (1989).
    4. V. Muto, J. Halding, P.L. Christiansen, and A.C. Scott, "A Soliton Model for Microwave Absorption in DNA", Numerical and Applied Mathematics, W.F.Ames (Ed.) 119-122 (1989).
    5. V. Muto and A.C. Scott and P.L. Christiansen, "A Nonlinear Model for DNA Dynamics" Proc. VII Int. Conf. on Math. and Computer Modelling, Mathematical and Computer Modelling, 14 600-603 (1990).
    6. V. Muto, A.C. Scott, P.L. Christiansen, and P.S. Lomdahl, "Nonlinear Discrete Models for DNA Dynamics" Proceedings from Meeting V "Waves and Stability in Continuous Media", Sorrento, Italy, October 9-14, 1989, (ed. S. Rionero) Ser. Adv. Math. Appl. Sci. Vol. 4, World Scientific, 60-65 (1991).
    7. L. Cruzeiro-Hansson, P.L. Christiansen, and A.C. Scott, "Thermal Stability of the Davydov Soliton" in "Davydov's Soliton Revisited. Self- Trapping of Vibrational Energy in Protein" (eds. P.L. Christiansen and A.C. Scott) NATO ASI Series B: Physics. Vol. 243, 325-335, Plenum (1990).
    8. P.L. Christiansen, A.C. Scott, V. Muto, and P.S. Lomdahl, "A Toda Lattice Model of DNA" Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids (eds. V. Rozmus and J.A. Tuszynski) Proc. CAP-NSERC Summer Institute in Theoretical Physics, Edmonton, Alberta, Canada, July 16-27, 1990, 564-572, World Scientific (1991).
    9. P.L. Christiansen, A.C. Scott, P.S. Lomdahl and V. Muto, "Denaturation of DNA in a Toda Lattice Model" in Solitons and Chaos, (eds. I. Antoniou and F.J. Lambert) Proc. of Solitons and Chaos, Springer-Verlag, 115-122, (1991).
    10. P.L. Christiansen, Yu. B. Gaididei, V. Z. Enol'skii, and D. V. Leykin, "The ultrasonic charge-density-waves and integrable many particle Hénon-Heiles system" "Future Directions of Nonlinear Dynamics in Physical and Biological Systems" (eds. P.L. Christiansen, Eilbeck, J.C., and Parmentier R.D.) Plenum Pub. Corp. NATO ASI Series B, vol. 312, 455-460 (1993).
    11. Yu.B. Gaididei, S.F. Mingaleev, P.L. Christiansen, M. Johansson, and K.Ø. Rasmussen, Effects of long-range dispersion in nonlinear dynamics of DNA molecules", Proceedings of the Adriatico Conference Nonlinear Cooperative Phenomena in Biological Systems, held August 19-22, 1997 in Trieste, Italy, World Scientific, Singapore. L. Mattson (Ed.) 176-194 (1998)
      12. .

    Diffraction theory for electromagnetic waves and water waves

    1. P.L. Christiansen, "Scattering of Short Electromagnetic Waves by a Circular Cylinder of Warm Enclosed Plasma", Electromagnetic Wave Theory (ed. J. Brown), Proceedings of a Symposium held at Delft, The Netherlands, September 1965, Pergamon Press, London, 2. 1041-1044 (1967).
    2. P.L. Christiansen, "Elementary Diffraction Coefficients in the Geometrical Theory of Diffraction", Electromagnetic Wave Theory, Preprints of International Symposium held at Tblisi, USSR, September 1971, "Nauka", Moscow, 276-278 (1971).
    3. P.L. Christiansen, "Current Electromagnetic Research in Denmark", 1973 G-AP International Symposium, University of Colorado, Institute of Electrical and Electronics Engineers, New York, 208-211 (1973).
    4. N.C. Albertsen and P.L. Christiansen, "Diffraction of creeping waves by an edge". URSI symposium on Electromagnetic Wave Theory, London, Symposium Digest, 114-116 (1974).
    5. P.L. Christiansen, "Diffraction of Gravity Waves by Large Islands", Coastal Engineering, Proceedings of the 14th Coastal Engineering Conference, Copenhagen, Denmark, June 1974, American Society of Civil Engineers, New York 1, 601-614 (1975).
    6. J. Larsen and P.L. Christiansen, "Computations of Harbor Oscillations by Ray Methods", Symposium on Modeling Techniques, 2nd Annual Symposium of the Waterways, Harbors and Coastal Engineering Division of ASCE, San Francisco, September 1975, American Society of Civil Engineers, New York, 2, 888-906 (1975).
    7. P.L. Christiansen, "Application of Ray Methods for Computation of Water Waves on Bottom Profiles of Varying Depth and in Harbours", Report from Symposium in Applied Mathematics, Dept. of Computer Sciences, Chalmers University of Technology, Gothenburg, Sweden, 15 (1975).

    Contributions to books

    1. P.L. Christiansen, "The Parabolic Cylinder", Electromagnetic and Acoustical Scattering by Simple Shapes (eds. J.J. Bowman, T.B.A. Senior, and P.L.E. Uslenghi), North-Holland Publishing Co., Amsterdam, 284-307 (1969).
    2. P.S. Lomdahl, O.H. Sørensen and P.L. Christiansen, "Excitations in Josephson Tunnel Junctions", J. Chandra and A.C. Scott (eds.): Coupled Nonlinear Oscillators, North-Holland Publ. Co., Math. Studies 80, 43-67 (1983).
    3. A.C. Scott and P.L. Christiansen, "The Classical Soliton Equations" in A. C. Scott, "Nonlinear Science: Emergence and Dynamics of Coherent Structures", with contributions by P. L. Christiansen and M. P. Sørensen, Oxford University Press (to appear).
    4. Yu. B. Gaididei, P. L. Christiansen, and S. F. Mingaleev,"Scale competition in nonlinear Schrödinger models" (submitted).
    5. A. V. Zolotaryuk, A. V. Savin, and P. L. Christiansen, "From the FPU chain to biomolecular dynamics" (submitted).

    Lecture notes

    1. P.L. Christiansen, "An Introduction to the Geometrical Theory of Diffraction", chapter 3 in Computer Techniques for Electromagnetics and Antennas, Part I: Notes for a Short Course, Oct. 25-28, 1971, Danish Engineering Society, Copenhagen, 39 pp. (1971).
    2. P.L. Christiansen, "Asymptotic Scattering Theory", Lecture notes, Laboratory of Applied Mathematical Physics, The Technical University of Denmark, 1-116 (1973). (In Danish).
    3. P.L. Christiansen, "Diffraction of Gravity Waves by Ray Methods", Waves on Water of Variable Depth (eds. D.G. Provis and R. Radok), Lecture notes in Physics 64, Australian Academy of Science, Canberra, and Springer- Verlag, Berlin, 28-38 (1977).
    4. P.L. Christiansen, N.C. Albertsen and S. Christiansen,"Complex Variables in Physics", Polyteknisk Forlag, Lyngby, Denmark, about 400 pp. (6th edition to appear 1998). (In Danish).
    5. P.L. Christiansen, "Canonical Problems and Diffraction Coefficients", Theoretical Methods for Determining the Interaction of Electromagnetic Waves with Structures (ed. J.K. Skwirzynski), NATO Advanced Study Institutes Series, Series E: Applied Sciences No. 40, Sijthoff and Noordhoff, The Netherlands, 455-475 (1981).
    6. P.L. Christiansen, "On Bäcklund Transformations and Solutions to the 2+1 and 3+1-dimensional sine-Gordon Equation", Geometrical Approaches to Differential Equations, Proceedings of the Fourth Schreveningen Conference on Differential Equations, The Netherlands, August 26-31, 1979, Springer- Verlag, 43-62 (1980).
    7. P.L. Christiansen, P.S. Lomdahl and V. Muto, "Toda Lattice with one Transverse Degree of Freedom" in "Nonlinear Coherent Structures" Proceedings, Montpellier, France 1989, Lecture Notes in Physics 353, Springer-Verlag, Berlin, 93-100 (1990).
    8. P.L. Christiansen and N.F. Pedersen, "Nonlinear Dynamics on the Josephson Junction", Lecture Notes on Superconductivity in Networks and Mesoscopic Structures, Pontignano, Italy September 1997 (eds. G. Giovanella and C. J. Lambert) American Institute of Physics Conference Proceedings 427, AIP, New York, 3-30 (1998).

    Miscellaneous scientific publications, reviews, films etc.

    1. P.L. Christiansen, "Solitoner", Fysisk Tidsskrift, 81, 97-125 (1983). (In Danish).
    2. P.L. Christiansen, "Anvendelse af computer grafik", NEUCC NYT 157, Tillæg TEMA: Grafik, 54-55 (1982). (In Danish).
    3. J.C. Eilbeck, P.S. Lomdahl, A.C. Scott, O. Skovgaard, O.H.Sørensen and P.L. Christiansen, "Sine-Gordon Solitons", Computer film, 16 mm with optical sound track, 14 minutes, colour with sound (1982).
    4. P.L. Christiansen, "Solitoner", invited contribution to Annual Report from the Technical University of Denmark, 27-48 (1983). (In Danish).
    5. O. Skovgaard, F. If, L. MacNeil, and M.P. Sørensen and P.L. Christiansen, "Brugererfaringer med vektorprocessor CRAY-1" NEUCC NYT 167, 26-27 (1983). (In Danish).
    6. O. Skovgaard and P.L. Christiansen, "Brugererfaringer i DTH's databar", NEUCC NYT 174, 44-46 (1983). (In Danish).
    7. O. Skovgaard, P.L. Christiansen, and M.P. Sørensen, "Edb-grafik ved LAMF p† DTH" Tema: Grafik, NEUCC, RECAU, RECKU, 125-129 (1984). (In Danish).
    8. P.L. Christiansen, "Solitons". By P.G. Drazin. London Mathematical Society Lecture Note Series, No. 85, Cambridge University Press, 1983", J. Fluid Mech. 142, 467-468 (1984). Review.
    9. F. If, O. Skovgaard and P.L. Christiansen, "Brugererfaringer med EARN" NEUCC NYT 189, 25-26 (1985). (In Danish).
    10. F. If, O. Skovgaard, P.L. Christiansen and S. Pagano, "Brugererfaringer med Vektorprocessor CRAY X-MP" Kontakt Lyngby, Danmarks EDB-Center for forskning og uddannelse, 2, 9-11 (1986). (In Danish).
    11. P.L. Christiansen, "Observations of Real Solitons", Nature, News and Views, 332, 12-13 (1988).
    12. P.L. Christiansen, "Shocking Optical Solitons", Nature, News and Views, 339, 17-18 (1989).
    13. M.P. Sørensen, P.L. Christiansen, T. Pavlopoulos, and N. Lazarides, "Nonlinear Properties of the BCS Gap Equation" UNI-C Annual Report 1991, 25-27.
    14. M. P. Sørensen, N. Lazarides and P.L. Christiansen, "Multilayer High Temperature Superconductors" UNI-C Annual Report 1992, 46-48.
    15. M.P. Sørensen, P.L. Christiansen, T. Geisler, K.A.Shore, J. Mørk and J. Mark, "Supercomputing Models of Fiber Lasers", UNI.C Supercomputing Annual Report 1993, 65-67.
    16. K.Ø. Rasmussen, P.L. Christiansen and M.P. Sørensen, "Biological Thin Films". UNI-C Supercomputing Annual Report 1994, 62-64.
    17. P.L. Christiansen, "Collaboration with Bob Parmentier, 1980-1996", Proceedings of Nonlinear Dynamics and the Josephson Effect in Honor of Bob Parmentier, held September 5, 1997 in Salerno, Italy (presented).
    18. P.L. Christiansen, K.Ø. Rasmussen, and Yu. B. Gaididei, "Bølgefænomener i natur og teknik", Naturens Verden 146-151 (1998) (In Danish).

    Scientific and technical reports

    1. P.L. Christiansen, "List of Z-Transforms", Laboratory of Electromagnetic Theory, The Technical University of Denmark, R 32, 1-27 (1963).
    2. P.L. Christiansen, "Diffraction of a Creeping Wave by a Discontinuity in the Surface Impedance of a Smooth Body", The University of Michigan Radiation Laboratory, Technical Report 6677-7-T, 99-111 (1966). (Classified).
    3. P.L. Christiansen, "A Review of the Geometrical Theory of Diffraction", in Methods of Evaluating the Influence of Spacecraft Structures on Antenna Radiation Patterns, Part 1: A Literature Survey, Laboratory of Electromagnetic Theory, The Technical University of Denmark, R 84, 38-41 (1970).
    4. P.L. Christiansen and Jesper Hansen, "Feasibility of Methods for Structures Large Compared to the Wavelength", in Methods of Evaluating the Influence of Spacecraft Structures on Antenna Radiation Patterns, Part II: A Feasibility Study, ESRO-CR-51, European Space Research Organization, Neuilly, France (1972).
    5. P.L. Christiansen "Source and Sink Factors and Diffraction Coefficients in the Geometrical Theory of Diffraction" The Danish Center for Applied Mathematics and Mechanics, Report No. 153, 1-28 (1978).
    6. P.L. Christiansen and P. S. Lomdahl "Numerical Study of 2+1 Dimensional Sine-Gordon Solitons" The Danish Center for Applied Mathematics and Mechanics, Report No. 198, 1-38 (1980).
    7. P.L. Christiansen and A. Cutolo, "On a Sine-Gordon Equation with a Variable Coefficient" The Danish Center for Applied Mathematics and Mechanics, Report No. 206, 1-9 (1981).
    8. P. L. Christiansen, R. D. Parmentier, and O. Skovgaard, "Non-linear Wave Phenomena in Josephson Elements for Superconducting Electronics", seven periodic and one final technical report for contract # DAJA37-82-C-0057, European Research Office of the U. S. Army, London, England 1982-1985
    9. P. L. Christiansen, R. D. Parmentier, and O. Skovgaard, "Coherence and Chaos Phenomena in Josephson Oscillators for Superconducting Electronics", six periodic and one final technical report for contract # DAJA45-85-C-0042, European Research Office of the U. S. Army, London, England 1985-1989