Periodic moving waves on 2D lattices with nearest-neighbor interactions
We study the existence of periodic moving waves on two-dimensional periodically forced lattices with linear coupling between nearest particles and with periodic nonlinear substrate potentials. Such discrete systems can model molecules adsorbed on a substrate crystal surface.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 1, pp 141-158.
Citation Example: Fečkan M. Periodic moving waves on 2D lattices with nearest-neighbor interactions // Ukr. Mat. Zh. - 2008. - 60, № 1. - pp. 127–139.