Instability of Standing Waves for a System of Nonlinear Schroedinger Equations with Three-Wave Interaction

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概要

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• We consider a three-component system of nonlinear Schrödinger equations related to the Raman amplification in a plasma. In dimension N ≤ 3, we study the orbital instability of standing wave solution of the form (0,0,e2iωtψ), where ψ is a ground state of scalar nonlinear Schrödinger equation. Using time derivative instead of space derivatives to estimate nonlinear terms, we improve an instability result in our previous paper [4], and also give a simpler proof.

著者

• Colin Mathieu

  Université de Bordeaux

• Colin Thierry

  Université de Bordeaux

• Ohta Masahito

  Saitama University

関連論文

• Instability of Standing Waves for a System of Nonlinear Schroedinger Equations with Three-Wave Interaction

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