Graduate School in Nonlinear Science

Sponsored by the Danish Research Academy


MIDIT                               OFD                           CATS
Modelling, Nonlinear Dynamics       Optics and Fluid Dynamics     Chaos and Turbulence Studies
and Irreversible Thermodynamics     Risø National Laboratory      Niels Bohr Institute and 
Technical University of Denmark     Building 128                  Department of Chemistry
Building 321                        P.O. Box 49                   University of Copenhagen 
DK-2800 Lyngby                      DK-4000 Roskilde              DK-2100 Copenhagen Ø
Denmark                             Denmark                       Denmark

NONLINEAR WAVES AND SOLITONS IN FLUIDS, PLASMAS AND OPTICS

LECTURE SERIES AT RISØ AND DTU

by Prof. Vladimir I. Karpman
Racah Institute of Physics,
University of Jerusalem,
Israel,

Tuesday September 1, at 13:00 - 15:00 h
Optics and Fluid Dynamics Department
Bldg. 128, Meeting Room
Risø National Laboratory, Roskilde

1 and 2. Nonlinear Shallow Water Waves

Basic equations for potential surface waves in incompressible fluids are discussed. A number of approximations leading to different simplified equations, in particular to Boussinesq system, Korteweg-de Vries-type equations etc., are considered with special emphasis on soliton solutions.

Thursday September 17, at 13:00 - 14:00 h
Optics and Fluid Dynamics Department
Bldg. 128, Meeting Room
Risø National Laboratory, Roskilde

3. Soliton Radiation

Nonlinear evolution equations with high-order derivatives describing high-order dispersive effects are discussed. Soliton radiation as a result of these effects is considered.

Tuesday September 15, at 14:00 - 16:00 h
MIDIT
IMM, Bldg. 321, Room 012, DTU
Technical University of Denmark, lyngby

4. Soliton Dynamics in Generalized Nonlinear Schrödinger Equations

Nonlinear Schrödinger equations with additional high-order derivative terms, describing high-order dispersive effects are considered. Soliton dynamics with account of these effects is described.

5. Langmuir Solitons

Langmuir solitons, describing electrostatic ion acoustic cavities with trapped coherent Langmuir waves, are considered. Such solitons greatly resembles Davydov Solitons in condensed matter and bio-physics and therefore are of general importance. Modifications of such solitons, in particular their radiation, caused by high-order dispersive effects, are discussed.