Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
type: Item
instance of: scholarly article
title: Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
zbMATH Open document ID: 1180.35478
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2009-12-18T00:00:00Z
full work available at URL: https://eudml.org/doc/78931
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 5649870
zbMATH Keywords: solitary wave
zbMATH Keywords: orbital stability
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: Raman amplification
zbMATH Keywords: plasma
author: Mathieu Colin
author: Thierry Colin
author: Masahito Ohta
MaRDI profile type: Publication
OpenAlex ID: W1977026647
cites work: Q3954171
cites work: Q4434430
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: Spectra of Linearized Operators for NLS Solitary Waves
cites work: On a quasilinear Zakharov system describing laser-plasma interactions.
cites work: A numerical model for the Raman amplification for laser-plasma interaction
cites work: Instability of Stationary Bubbles
cites work: The black solitons of one-dimensional NLS equations
cites work: Nonlinear bound states outside an insulated sphere
cites work: Q4814032
cites work: A spectral mapping theorem and invariant manifolds for nonlinear Schrodinger equations
cites work: Stability theory of solitary waves in the presence of symmetry. I
cites work: Stability theory of solitary waves in the presence of symmetry. II
cites work: Stability and instability of solitary waves for one-dimensional singular Schrödinger equations
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Analysis.
cites work: A remark on linearly unstable standing wave solutions to NLS
cites work: Instability of nonlinear bound states
cites work: Q4511848
cites work: The nonlinear Schrödinger equation. Self-focusing and wave collapse
cites work: Lyapunov stability of ground states of nonlinear dispersive evolution equations
cites work: Modulational Stability of Ground States of Nonlinear Schrödinger Equations
DOI: 10.1016/J.ANIHPC.2009.01.011
description: scientific article; zbMATH DE number 5649870