A Coupling Technique based on the Homotopy Perturbation Method and Sumudu Transform for solving the Klein-Gorden equations

In this paper, the homotopy perturbation method(HPM) and sumudu transform is employed to obtain the approximate analytical solution of the Klein Gorden equations. The nonlinear terms can easily be handled with the help of He’s polynomials which is considered to be an advantage of this technique. The fact that the proposed technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this new method over the decomposition method. In this algorithm, the series solution can be obtained by making use of the inverse transformation. The result reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems.