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Abdou, M. A.; Soliman, A. A.

New applications of variational iteration method. (English) Zbl 1084.35539

Physica D 211, No. 1-2, 1-8 (2005).
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.

Cited in 133 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q35 PDEs in connection with fluid mechanics

Keywords:

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