The Homotopy Analysis Method for Solving the Nonlinear Evolution Equations in Mathematical Physics

摘要

By means of the homotopy analysis method (HAM) the exact solutions of the (1+1)-dimensional nonlinear combined KdV-MKdV equation and the (l+l)-dimensional Jaulent-Miodek (JM) equations are exactly obtained. HAM is a powerful and easy to use the analytic tool for the nonlinear evolution equations. The validity of this method has been successful by applying it for these nonlinear equations.