Bifurcation from semitrivial standing waves and ground states for a system of nonlinear schrödinger equations

Mathieu Colin, Masahito Ohta

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7 Citations (Scopus)

Abstract

We consider a system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating from the semitrivial standing wave of the system. The stability and instability of the semitrivial standing wave at the bifurcation point are also studied. Moreover, we determine the set of the ground states completely.

Original languageEnglish
Pages (from-to)206-223
Number of pages18
JournalSIAM Journal on Mathematical Analysis
Volume44
Issue number1
DOIs
Publication statusPublished - 28 May 2012

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Keywords

  • Ground state
  • Nonlinear Schrödinger equations
  • Stability
  • Standing wave

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