Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons

Joceline Lega, Stephan Fauve

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrödinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.

Original languageEnglish (US)
Pages (from-to)234-252
Number of pages19
JournalPhysica D: Nonlinear Phenomena
Volume102
Issue number3-4
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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