Efficient Approach for Solving (2+1) D- Differential Equations

Abstract

In this article, a new efficient approach is presented to solve a type of partial differential equations, such (2+1)-dimensional differential equations non-linear, and nonhomogeneous. The procedure of the new approach is suggested to solve important types of differential equations and get accurate analytic solutions i.e., exact solutions. The effectiveness of the suggested approach based on its properties compared with other approaches has been used to solve this type of differential equations such as the Adomain decomposition method, homotopy perturbation method, homotopy analysis method, and variation iteration method. The advantage of the present method has been illustrated by some examples.

Keywords

• Boussinesq equations, Cubic Klein-Gordon equations, Decomposition method, (2 1)-dimensional PDEs, Kadomtsev-Petviashvili equation