Approximate solutions for Fornberg‐Whitham type equations

The purpose of this study is to propose an analytical approach based on the homotopy perturbation method (HPM) for solving the initial value problems associated with the Fornberg‐Whitham type equations.

In this paper, He's HPM is applied to Fornberg‐Whitham equations. The procedure of the method is systematically illustrated.

The results show that the HPM is a powerful mathematical tool to solving these equations, it is also a promising method to solve other nonlinear equations.

The results show applicability, accuracy and efficiency of HPM in solving nonlinear differential equations. It is predicted that HPM can be widely applied in science and engineering problems.