Global existence for a system of weakly coupled nonlinear Schrödinger equations
type: Item
instance of: scholarly article
title: Global existence for a system of weakly coupled nonlinear Schrödinger equations
zbMATH Open document ID: 1185.35267
DOI: 10.1134/S0001434609110078
author: Jian Zhang
author: Ji Shu
published in: Mathematical Notes
publication date: 2010-02-05T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 81V45
zbMATH DE Number: 5666563
zbMATH Keywords: weakly coupled nonlinear Schrödinger equations
zbMATH Keywords: global existence
zbMATH Keywords: Gagliardo-Nirenberg inequality
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Laplace operator
zbMATH Keywords: nonlinear optics
MaRDI profile type: Publication
cites work: Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension
cites work: Shape-changing collisions of coupled bright solitons in birefringent optical fibers.
cites work: On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
cites work: Q3769298
cites work: On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
cites work: Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
cites work: Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
cites work: Q3954171
cites work: Nonlinear Schrödinger equations and sharp interpolation estimates
cites work: Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
cites work: Q4789208
cites work: Q3516551
cites work: Q4225523
cites work: Standing waves of some coupled nonlinear Schrödinger equations
cites work: Positive solutions for a weakly coupled nonlinear Schrödinger system
cites work: Necessary conditions and sufficient conditions for global existence in the nonlinear Schr\"odinger equation
full work available at URL: s0001434609110078
OpenAlex ID: W1984897121
description: scientific article; zbMATH DE number 5666563