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

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dc.creatorFeckan, Michal
dc.creatorRothos, Vassilis M.
dc.date2007-01-17
dc.date.accessioned2026-07-07T07:41:32Z
dc.date.available2026-07-07T07:41:32Z
dc.descriptionWe 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.
dc.description29 pages, 3 figures. to appear Nonlinearity
dc.identifierhttps://arxiv.org/abs/nlin/0701035
dc.identifierhttp://arxiv.org/abs/nlin/0701035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122147
dc.subjectPattern Formation and Solitons
dc.titleTravelling Waves in Hamiltonian Systems on 2D Lattices with Nearest Neighbor Interactions
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