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

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

2007-01-17

arxiv.org/abs/nlin/0701035v1

Nonlinear Sciences

Pattern Formation and Solitons

29 pages, 3 figures. to appear Nonlinearity

Scientific paper

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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