Spectra of linearized operators for NLS solitary waves

Shu-Ming Chang*, Stephen Gustafsont, Kenji Nakanishi, Tai Peng Tsai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Scopus citations

Abstract

Nonlinear Schrödinger equations (NLSs) with focusing power nonlinearities have solitary wave solutions. The spectra of the linearized operators around these solitary waves are intimately connected to stability properties of the solitary waves and to the long-time dynamics of solutions of NLSs. We study these spectra in detail, both analytically and numerically.

Original languageEnglish
Pages (from-to)1070-1111
Number of pages42
JournalSIAM Journal on Mathematical Analysis
Volume39
Issue number4
DOIs
StatePublished - 1 Dec 2007

Keywords

  • Linearized operator
  • Nonlinear Schrödinger equation
  • Solitary waves
  • Spectrum
  • Stability

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