Title

Stability of Small Solitary Waves for the One-Dimensional Nls with an Attractive Delta Potential

Abstract

We consider the initial-value problem for the one-dimensional nonlinear Schrodinger equation in the presence of an attractive delta potential. We show that for sufficiently small initial data, the corresponding global solution decomposes into a small solitary wave plus a radiation term that decays and scatters as t →∞. In particular, we establish the asymptotic stability of the family of small solitary waves.

Department(s)

Mathematics and Statistics

Comments

Japan Society for the Promotion of Science, Grant 17H02851

Keywords and Phrases

Asymptotic stability; Delta potential; NLS; Solitary waves

International Standard Serial Number (ISSN)

2157-5045; 1948-206X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 The Authors, All rights reserved.

Publication Date

01 Jan 2020

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