Transverse instability for nonlinear Schrödinger equation with a linear potential

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

In this paper, we consider the transverse instability for a nonlinear Schrödinger equation with a linear potential on R×TL, where 2πL is the period of the torus TL. Rose and Weinstein [18] showed the existence of a stable standing wave for a nonlinear Schrödinger equation with a linear potential. We regard the standing wave of nonlinear Schrödinger equation on R as a line standing wave of nonlinear Schrödinger equation on R×TL. We show the stability of line standing waves for all L > 0 by using the argument of the previous paper [26].

本文言語英語
ページ(範囲)429-462
ページ数34
ジャーナルAdvances in Differential Equations
21
5-6
出版ステータス出版済み - 2016
外部発表はい

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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