Let(X, f) be a topological dynamical system, where X is a nonempty compact and metrizable space with the metric d and f : X → X is a continuous map. For any in
In this article, we prove that the Cauchy problem for a N-dimensional system of nonlinear wave equations utt-a△utt=△f(u,v), x∈R N,t>0, vtt-a△vtt=△g(u,v), x