Asymptotic stability of N-soliton states of NLS

A. Soffer; I. Rodnianski; W. Schlag

Asymptotic stability of N-soliton states of NLS

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arxiv math/0309114 v1 pith:VJJ5ZDF7 submitted 2003-09-05 math.AP math-phmath.MP

I. Rodnianski , W. Schlag , A. Soffer This is my paper · ORCID

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The focusing nonlinear Schrodinger equation possesses special non-dispersive solitary type solutions, solitons. Under certain spectral assumptions we show existence and asymptotic stability of solutions with the asymptoic profile (as time goes to infinity) of a linear combination of N non-colliding solitons.

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The large time asymptotics of nonlinear multichannel Schroedinger equations
math.AP 2025-01 conditional novelty 7.0 of 10

Radial solutions with bounded H^1 norm decompose asymptotically into a free wave and a weakly localized component, for a broad class of nonlinear and time-dependent interactions.

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