Stability of small solitary waves for the 1d nls with an attractive delta potential

Satoshi Masaki, Jason Murphy, Jun Ichi Segata

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the initial-value problem for the one-dimensional nonlinear Schrödinger 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.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - Jul 3 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General

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