Kreiner, C. F. and Zimmer, J., 2009. Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction. Discrete and Continuous Dynamical Systems, 25 (3), pp. 915-931.
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.
|Item Type ||Articles|
|Creators||Kreiner, C. F.and Zimmer, J.|
|Uncontrolled Keywords||continuum, solitary waves, klein-gordon lattice, travelling waves, concentration compactness|
|Departments||Faculty of Science > Mathematical Sciences|
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