Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations

DOI10.3934/dcds.2016.36.1789zbMath1326.35331arXiv1509.00425OpenAlexW1898528979MaRDI QIDQ887679

Santosh Bhattarai

Publication date: 27 October 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00425

zbMATH Keywords

stabilitysolitary wavespositive solutionsground statesnonlinear Schrödinger system\(L^2\) normalized solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Positive solutions to PDEs (35B09)

Related Items (13)

Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass ⋮ Multiple positive normalized solutions for nonlinear Schrödinger systems ⋮ Variational problems associated with a system of nonlinear Schrödinger equations with three wave interaction ⋮ Existence and orbital stability of standing waves to nonlinear Schrödinger system with partial confinement ⋮ Orbital stability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction ⋮ Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma ⋮ Existence and stability of standing waves for coupled nonlinear Hartree type equations ⋮ Stability of standing waves for the fractional Schrödinger-Choquard equation ⋮ Existence of the normalized solutions to the nonlocal elliptic system with partial confinement ⋮ On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations ⋮ Existence, stability of standing waves and the characterization of finite time blow-up solutions for a system NLS with quadratic interaction ⋮ Existence and orbital stability of standing waves for nonlinear Schrödinger systems ⋮ The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
• Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrödinger system
• Solitary waves and a stability analysis of an equation of short and long dispersive waves
• Orbital stability of solitary waves for a nonlinear Schrödinger system
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Simulation of envelope Rossby solitons in a pair of cubic Schrödinger equations
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Effect of symmetry to the structure of positive solutions in nonlinear elliptic problems
• Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities
• Orbital stability of solitary waves of a 3-coupled nonlinear Schrödinger system
• On the stability theory of solitary waves
• Model equations for waves in stratified fluids
• Existence and stability of ground-state solutions of a Schrödinger—KdV system
• Stability of solitary waves for coupled nonlinear schrödinger equations
• Global existence for a coupled system of Schrödinger equations with power-type nonlinearities

This page was built for publication: Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations