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New applications of variational iteration method. (English) Zbl 1084.35539
Summary: The variational iteration method is used for solving three types of nonlinear partial differential equations such as coupled Schrödinger-KdV, generalized KdV and shallow water equations. The exact and numerical solutions obtained by the variational iteration method are compared with that obtained using Adomian decomposition method. In this paper, He’s variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q35PDEs in connection with fluid mechanics