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Zbl 1084.35539
Abdou, M.A.; Soliman, A.A.
New applications of variational iteration method. (English)
[J] Physica D 211, No. 1-2, 1-8 (2005). ISSN 0167-2789

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 2000:: *35Q53 KdV-like equations
35Q35 Other equations arising in fluid mechanics

Keywords: Schrödinger-KdV equation; Generalized KdV equation; Shallow water equation; Lagrange multiplier

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Zentralblatt MATH Berlin [Germany]