Breathers as homoclinic geometric wave maps

Jalal Shatah, Walter Strauss

Research output: Contribution to journalArticle

Abstract

A classical breather solution of the sine-Gordon equation can be viewed as a homoclinic wave map from periodic Minkowski space Mp2 into S2. This wave map is an unstable orbit of a simple steady-state wave map. Homoclinic wave maps are also constructed into non-round spheres.

Original languageEnglish (US)
Pages (from-to)113-133
Number of pages21
JournalPhysica D: Nonlinear Phenomena
Volume99
Issue number2-3
DOIs
StatePublished - 1996

Keywords

  • Breather
  • Harmonic maps
  • Homoclinic
  • Sine-Gordon equation

ASJC Scopus subject areas

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

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