Bifurcation from Semitrivial Standing Waves and Ground States for a System of Nonlinear Schrödinger Equations

DOI10.1137/110823808zbMath1238.35010arXiv1102.1545OpenAlexW2005813312MaRDI QIDQ2882315

Masahito Ohta, Mathieu Colin

Publication date: 4 May 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1545

zbMATH Keywords

stabilityground statenonlinear Schrödinger equationsstanding waveRaman amplificationmultipulses

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32)

Related Items (11)

Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity ⋮ Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma ⋮ Existence and multiplicity of normalized solution for the coupled elliptic system with quadratic nonlinearity ⋮ Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems ⋮ Transverse instability for a system of nonlinear Schrödinger equations ⋮ Well-posedness and scattering for a system of quadratic derivative nonlinear Schrödinger equations with low regularity initial data ⋮ Solitary waves for coupled nonlinear elliptic system with nonhomogeneous nonlinearities ⋮ Instability of bound states for abstract nonlinear Schrödinger equations ⋮ Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction ⋮ Stability of semitrivial periodic waves of a Schrödinger system ⋮ Normalized solutions for coupled Schrödinger system with nonhomogeneous nonlinearity

This page was built for publication: Bifurcation from Semitrivial Standing Waves and Ground States for a System of Nonlinear Schrödinger Equations