1-Soliton Solution of the Coupled Nonlinear Klein-Gordon Equations

This paper studies the coupled Klein-Gordon equations in (1+1) and (1+2) dimensions. The cubic law of nonlinearity and arbitrary power law nonlinearity are considered in this paper. The 1-soliton solution of the coupled system, for both cases, is obtained. The solitary wave ansatz is used to carry out the integration. KeyWords: Solitons; Integrability; Coupled Klein-Gordon Equations