Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction

C F Kreiner, J Zimmer

Research output: Contribution to journalArticle

4 Citations (Scopus)
51 Downloads (Pure)

Abstract

The existence of travelling heteroclinic waves for the sine-Gordon lattice is proved for a linear interaction of neighbouring atoms. The asymptotic states are chosen such that the action functional is finite. The proof relies on a suitable concentration-compactness argument, which can be shown to hold even though the associated functional has no sub-additive structure.
Original languageEnglish
Pages (from-to)915-931
Number of pages17
JournalDiscrete and Continuous Dynamical Systems
Volume25
Issue number3
DOIs
Publication statusPublished - Nov 2009

Fingerprint

sine-Gordon equation
Concentration-compactness
Sine-Gordon Equation
Traveling Wave
Atoms
Interaction

Keywords

  • continuum
  • solitary waves
  • Klein-Gordon lattice
  • travelling waves
  • concentration compactness

Cite this

Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction. / Kreiner, C F; Zimmer, J.

In: Discrete and Continuous Dynamical Systems, Vol. 25, No. 3, 11.2009, p. 915-931.

Research output: Contribution to journalArticle

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