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Asymptotic stability of N-soliton states of NLS

I. Rodnianski·W. Schlag·A. Soffer
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Abstract

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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I. Rodnianski, W. Schlag, A. Soffer. 2003-09-05. Asymptotic stability of N-soliton states of NLS. https://arxiv.org/abs/math/0309114

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