MULTISOLITON COLLISIONS IN NEARLY INTEGRABLE SYSTEMS

Citation
H. Frauenkron et al., MULTISOLITON COLLISIONS IN NEARLY INTEGRABLE SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(3), 1996, pp. 2244-2247
Citations number
13
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
54
Issue
3
Year of publication
1996
Pages
2244 - 2247
Database
ISI
SICI code
1063-651X(1996)54:3<2244:MCINIS>2.0.ZU;2-K
Abstract
We describe basic features of multisoliton collisions in nearly integr able systems taking a perturbed nonlinear Schrodinger equation as an e xample, Collision of two solitons is shown to become inelastic only du e to radiation losses, so that the change of the soliton parameters is small (similar to epsilon(2), where epsilon is the perturbation ampli tude). For three-soliton collisions we demonstrate, by using a simplec tic numerical integration, the existence of a nontrivial nonradiative energy exchange between the colliding solitons already in the first or der in epsilon.