Homotopy Perturbation Method and Reduced Differential Transform Method for Solving (1+1)-Dimensional Nonlinear Boussinesq Equation

Abstract

In this paper, we will introduce the homotopy perturbation method (HPM) and the reduced differential transform method (RDTM) for solving (1+1)-dimensional nonlinear Boussinesq equation. The analytical solution of the equation have been obtained in terms of convergent series with easily computable components. The obtained results show that the proposed methods are very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.