Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction
Reference:
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.
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Official URL:
http://dx.doi.org/10.3934/dcds.2009.25.915
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.
Details
| Item Type | Articles |
| Creators | Kreiner, C. F.and Zimmer, J. |
| DOI | 10.3934/dcds.2009.25.915 |
| Uncontrolled Keywords | Klein-Gordon lattice, travelling waves, concentration compactness, solitary waves, continuum |
| Departments | Faculty of Science > Mathematical Sciences |
| Refereed | Yes |
| Status | Published |
| ID Code | 15797 |
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