Travelling Waves in Hamiltonian Systems on 2D Lattices with Nearest Neighbor Interactions

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We study travelling waves on a two--dimensional lattice with linear and nonlinear coupling between nearest particles and a periodic nonlinear substrate potential. Such a discrete system can model molecules adsorbed on a substrate crystal surface. We show the existence of both uniform sliding states and periodic travelling waves as well in a two-dimensional sine-Gordon lattice equation using topological and variational methods.
29 pages, 3 figures. to appear Nonlinearity

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Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/122147

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0701035
 http://arxiv.org/abs/nlin/0701035

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arXiv