Homotopy Analysis Method for Nonlinear Jaulent-Miodek Equation

Abstract

The homotopy analysis method (HAM) has been developed by Liao [1-2] to obtain series solutions of controllable convergence to various nonlinear problems. In this work, we propose this method (HAM), for solving Jaulent-Miodek (JM) equation [9-10]. Numerical solutions obtained by the homotopy analysis method are compared with the exact solutions. The results for some values for the variables are shown in the tables and the solutions are presented as plots as well, showing the ability of the method