Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Jan 2004Embargo end date: 01 Sep 2003 English Publisher:Informa UK LimitedJournal:Communications in Partial Differential Equations, volume 29, pages 1,051-1,095 (issn: 0360-5302, eissn: 1532-4133,

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Authors: Perelman, G.;

doi: 10.1081/pde-200033754 , 10.48550/arxiv.math-ph/0309021

arXiv: math-ph/0309021

Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations

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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.

30 pages

Related Organizations

École Polytechnique
France

Keywords

FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

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