Asymptotic stability of multi-soliton solutions for nonlinear Schroedinger eqations
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We consider the Cauchy problem for the nonlinear Schroedinger eqiation with initial data close to a sum of N decoupled solitons. Under some suitable assumptions on the spectral structure of the one soliton linearizations we prove that for large time the asymptotics of the solution is given by a sum of solitons with slightly modified parameters and a small dispersive term.
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Cite
@article{arxiv.math-ph/0309021,
title = {Asymptotic stability of multi-soliton solutions for nonlinear Schroedinger eqations},
author = {G. Perelman},
journal= {arXiv preprint arXiv:math-ph/0309021},
year = {2007}
}
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30 pages