Single soliton solutions of the coupled nonlinear Klein–Gordon equations with power law nonlinearity

Abstract

In this paper, the direct method is adopted to integrate the coupled nonlinear Klein–Gordon equations with power law nonlinearity. The exact single topological and non-topological soliton solutions of the one-coupled, two-coupled and N-coupled nonlinear Klein–Gordon equations with power law nonlinearity are proposed explicitly. Among these soliton solutions there are some constraint conditions which guarantee the existence of the solutions.