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

C F Kreiner, J Zimmer

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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

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Keywords

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

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