On exact solutions to partial differential equations by the modified homotopy perturbation method

Abstract

Based on the modified homotopy perturbation method (MHPM), exact solutions of certain partial differential equations are constructed by separation of variables and choosing the finite terms of a series in p as exact solutions. Under suitable initial conditions, the PDE is transformed into an ODE. Some illustrative examples reveal the efficiency of the proposed method.

A Comprehensive Review on Several Techniques for Solving 2D and 3D Partial Differential Equations

“…The non linear Schrodinger equations have been solved by using Homotopy Perturbation method [38]. The exact solutions of partial differential equations have been obtained using modified homotopy perturbation method [39]. The Homotopy perturbation method combined with Elzaki transform has been used to solve linear and nonlinear Schrodinger's equations [40].…”