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
StatePublished - 1996

Fingerprint

Breathers
Homoclinic
sine-Gordon equation
Sine-Gordon Equation
Minkowski space
Minkowski Space
Orbits
Orbit
Unstable
orbits

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Shatah, J., & Strauss, W. (1996). Breathers as homoclinic geometric wave maps. Physica D: Nonlinear Phenomena, 99(2-3), 113-133.

Breathers as homoclinic geometric wave maps. / Shatah, Jalal; Strauss, Walter.

In: Physica D: Nonlinear Phenomena, Vol. 99, No. 2-3, 1996, p. 113-133.

Research output: Contribution to journalArticle

Shatah, J & Strauss, W 1996, 'Breathers as homoclinic geometric wave maps', Physica D: Nonlinear Phenomena, vol. 99, no. 2-3, pp. 113-133.
Shatah, Jalal ; Strauss, Walter. / Breathers as homoclinic geometric wave maps. In: Physica D: Nonlinear Phenomena. 1996 ; Vol. 99, No. 2-3. pp. 113-133.
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