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The focus of study is the nonlinear discrete sine-Gordon equation, where the nonlinearity refers to a nonlinear interaction of neighbouring atoms. The existence of travelling heteroclinic, homoclinic and periodic waves is shown. The asymptotic states are chosen such that the action functional is finite. The proofs employ variational methods, in particular a suitable concentration-compactness lemma combined with direct minimisation and mountain pass arguments.
|Number of pages||13|
|Journal||Nonlinear Analysis: Theory Methods & Applications|
|Publication status||Published - 2009|
- Nonlinear Klein-Gordon lattice
- Travelling waves
- Calculus of variations
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- 1 Finished
MATHEMATICAL ANALYSIS OF OF THE STATIC AND DYNAMIC BEHAVIOUR OF MATERIALS - ADVANCED RESEARCH FELLOWSHIP
Engineering and Physical Sciences Research Council
1/10/04 → 30/09/09
Project: Research council