Soliton solutions of the generalized Klein–Gordon equation by using $$\left( \frac{G^{\prime }}{G}\right) $$G′G-expansion method

The aim of this paper is to present solitary wave solutions of two different forms of Klein–Gordon equations with full nonlinearity. The $$\left( \frac{G'}{G}\right) $$G′G-expansion method is applied to solve the governing equations and then exact 1-soliton solutions are obtained. It is shown that this method provides us with a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

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