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

2016/02/03 by Shotaro Kawahara, Kawahara, Shotaro, Masahito Ohta +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems

paper · pdf · doi:10.48550/arxiv.1602.01201

openalex publication_date 2016/02/03 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

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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