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Solitary
wave interactions and collisions in non-integrable systems
Organizer:
Richard Haberman
Weak and strong interactions and collisions of solitary waves are
well known to be complicated for non-integrable equations. They
have been studied by perturbation methods based on inverse
scattering, multiple scale perturbation methods, and collective
coordinate variational approximations, as well as direct numerical
simulations. Issues addressed by some of our participants
include accurately determining excitation of solitons internal modes
and radiation. In addition, recent advances will be presented
in using the separatrix map of dynamical systems to understand the
fractal structure of chaotic scattering associated with collisions
and interactions of solitary waves.
Speakers
List (in alphabetical order of authors):
1) Sergey
V. Dmitriev
(Technical University,
Russia)
"Strongly inelastic soliton collisions in weakly
perturbed integrable
systems”
2) Baofeng
Feng (University
of Texas –Pan,
USA)
"Reduced
models for the interactions of discrete breathers in
Fermi-Pasta-Ulam lattices"
3) Richard Haberman (Southern Methodist University, USA)
"Chaotic scattering via the separatrix map in solitary wave interactions"
4) Tim
R. Marchant
(The University of Wollongong,
Australia)
"Solitary wave interaction for a higher-order nonlinear
Schrodinger equation"
5) Yi
Zhu (Tsinghua
University,
China)
"A universal map for fractal structures in weak solitary wave
interactions"
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