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Abstract
The existence of travelling heteroclinic waves for the sineGordon 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 concentrationcompactness argument, which can be shown to hold even though the associated functional has no subadditive structure.
Original language  English 

Pages (fromto)  915931 
Number of pages  17 
Journal  Discrete and Continuous Dynamical Systems 
Volume  25 
Issue number  3 
DOIs  
Publication status  Published  Nov 2009 
Keywords
 continuum
 solitary waves
 KleinGordon lattice
 travelling waves
 concentration compactness
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Projects
 1 Finished

MATHEMATICAL ANALYSIS OF OF THE STATIC AND DYNAMIC BEHAVIOUR OF MATERIALS  ADVANCED RESEARCH FELLOWSHIP
Zimmer, J.
Engineering and Physical Sciences Research Council
1/10/04 → 30/09/09
Project: Research council