Graduate School in Nonlinear Science
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
SOLITARY WAVES AT SOLID SURFACES
University of Regensburg, Germany
Tuesday, November 27, 2001, 15:00 h
at IMM, Bldg. 305, Room 053, DTU
The existence of solitary waves propagating along the surface of an elastic
medium has been a long-standing question.
It can now be answered in the affirmative because
of recent experiments on coated substrates using laser
excitation. Propagation of nonlinear surface waves in solids
is described by an evolution equation which contains
a nonlocal second-order nonlinearity. Dispersion can be introduced into the
system by adding a thin film or modifying the surface in another way.
Solitary pulse solutions of the evolution equation are
computed as limiting cases of periodic pulse trains. Their linear stability is
analyzed and their shape is compared with experimental results.
The behaviour of the solitary pulses in collisions with each
other is investigated by numerical simulations and found to
strongly depend on the linear dispersion law.