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Basing on the priori assumption principle, the main goal of this paper is to propose the rational expansion method that can be used to handle the exact solution of the nonlinear partial differential equation. It is extension of tanh function method. As an application, three classes of exact solutions to Klein-Gordon-Schrodinger equation are obtained. Keywords Klein-Gordon-Schrodinger equation, exact solution, tanh function method, rational expansion method., §1. Introduction The investigation of exploring the exact traveling wave solutions of nonlinear mathematical physics equations plays an important role in the study of the solitary wave solution. Up to [...]