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

Michal Feckan; Vassilis M. Rothos

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arXiv · nlin/0701035

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

Michal Feckan·Vassilis M. Rothos

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Abstract

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.

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Michal Feckan, Vassilis M. Rothos. 2007-01-17. Travelling Waves in Hamiltonian Systems on 2D Lattices with Nearest Neighbor Interactions. https://arxiv.org/abs/nlin/0701035

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