Instability of standing waves for a system of nonlinear Schrödinger equations in a degenerate case

Kawahara, Shotaro; Ohta, Masahito

doi:10.2969/aspm/08110085

VOL. 81 | 2019 Instability of standing waves for a system of nonlinear Schrödinger equations in a degenerate case

Chapter Author(s) Shotaro Kawahara, Masahito Ohta

Editor(s) Keiichi Kato, Takayoshi Ogawa, Tohru Ozawa

Adv. Stud. Pure Math., 2019: 85-100 (2019) DOI: 10.2969/aspm/08110085

Abstract

We study a system of nonlinear Schrödinger equations with cubic interactions in one space dimension. The orbital stability and instability of semitrivial standing wave solutions are studied for both non-degenerate and degenerate cases.

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Published: 1 January 2019

First available in Project Euclid: 31 October 2019

zbMATH: 07176817

Digital Object Identifier: 10.2969/aspm/08110085

Subjects:

Primary: 35B35 , 35Q55

Keywords: Nonlinear Schrödinger equations , stability , standing wave

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