Travelling Waves in Hamiltonian Systems on 2D Lattices with Nearest Neighbor Interactions
Pattern Formation and Solitons
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.nlin/0701035,
title = {Travelling Waves in Hamiltonian Systems on 2D Lattices with Nearest Neighbor Interactions},
author = {Michal Feckan and Vassilis M. Rothos},
journal= {arXiv preprint arXiv:nlin/0701035},
year = {2007}
}
Comments
29 pages, 3 figures. to appear Nonlinearity