Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential

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47 Citations (Scopus)

Abstract

In this paper, we study the stability and the instability of standing waves for the nonlinear Schrödinger equation with harmonic potential. We prove the existence of stable or unstable standing waves under certain conditions on the power of nonlinearity and the frequency of wave.

Original languageEnglish
Pages (from-to)525-544
Number of pages20
JournalDiscrete and Continuous Dynamical Systems
Volume7
Issue number3
DOIs
Publication statusPublished - 2001 Jul

Keywords

  • Harmonic potential
  • Nonlinear scrödinger equation
  • Orbital stability
  • Standing wave

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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