Traveling hole solutions of the complex Ginzburg-Landau equation: A review

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

This paper reviews recent works on localized solutions of the one-dimensional complex Ginzburg-Landau (CGL) equation known as traveling holes. Such coherent structures seem to play an important role in the disordered dynamics displayed by CGL at a finite distance past the Benjamin-Feir instability threshold. We discuss these objects in the broader context of weak turbulence and summarize some of their properties.

Original languageEnglish (US)
Pages (from-to)269-287
Number of pages19
JournalPhysica D: Nonlinear Phenomena
Volume152-153
DOIs
StatePublished - May 15 2001

Keywords

  • Complex Ginzburg-Landau equation
  • Phase instability
  • Traveling hole solutions

ASJC Scopus subject areas

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

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