New applications of variational iteration method

The variational iteration method is used for solving three types of nonlinear partial differential equations such as coupled Schrodinger-KdV, generalized KdV and shallow water equations. The exact and numerical solutions obtained by variational iteration method are compared with that obtained using Adomian decomposition method. The comparison shows that the two solutions obtained are excellent agreement. The method is made, showing that the former is more effective than the latter. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.