Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction

Authors:	M. Colin Th. Colin M. Ohta

Affiliation:	1. Institut Mathématiques de Bordeaux, Université de Bordeaux and INRIA Bordeaux-Sud Ouest, EPI MC2, 351 cours de la libération, 33405 Talence Cedex, France;2. Department of Mathematics, Faculty of Science, Saitama University, Saitama 338-8570, Japan

Abstract:	In this paper we consider a three components system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. We study the orbital stability of scalar solutions of the form (e2iωtφ,0,0) $(e^{2 i ω t} φ, 0, 0)$ , (0,e2iωtφ,0) $(0, e^{2 i ω t} φ, 0)$ , (0,0,e2iωtφ) $(0, 0, e^{2 i ω t} φ)$ , where φ is a ground state of the scalar nonlinear Schrödinger equation.

Keywords:	35Q55 35A15 35B35
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