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

@inproceedings{Maeda2021AsymptoticSO, title={Asymptotic stability of soliton for discrete nonlinear Schr\"odinger equation on one-dimensional lattice}, author={Masaya Maeda and Masafumi Yoneda}, year={2021} }

In this paper we give a simple and short proof of asymptotic stability of soliton for discrete nonlinear Schrödinger 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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