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arXiv · 2112.00998

Asymptotic stability of soliton for discrete nonlinear Schr\"odinger equation on one-dimensional lattice

Masaya Maeda·Masafumi Yoneda
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Abstract

In this paper we give a simple and short proof of asymptotic stability of soliton for discrete nonlinear Schr\"odinger equation near anti-continuous limit. Our novel insight is that the analysis of linearized operator, usually non-symmetric, can be reduced to a study of simple self-adjoint operator almost like the free discrete Laplacian restricted on odd functions.

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Masaya Maeda, Masafumi Yoneda. 2021-12-02. Asymptotic stability of soliton for discrete nonlinear Schr\"odinger equation on one-dimensional lattice. https://arxiv.org/abs/2112.00998

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