Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice

summary:In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed $c>0$ in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem

Traveling waves and pattern formation for spatially discrete bistable reaction-diffusion equations (survey)

Analysis and Stochastic