A New Homotopy Analysis Method for Finding the Exact Solution of Systems of Partial Differential Equations

In this paper, the application of a new homotopy analysis method presented for obtaining solutions of systems of non-linear partial differential equations. Theoretical considerations are discussed. To explain the capability and reliability of the new method some examples are provided. The results show that the new technique is very effective and convenient and comparison of the obtained solutions of this new method with those of applying homotopy analysis method have high accuracy.