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Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Padé technique

2007; Elsevier BV; Volume: 54; Issue: 7-8 Linguagem: Inglês

10.1016/j.camwa.2006.12.067

1873-7668

Tamer A. Abassy, Magdy A. El‐Tawil, H. El-Zoheiry,

Nonlinear Waves and Solitons

In this paper, the variational iteration method (VIM) is reintroduced with Laplace transforms and the Padé technique treatment to obtain closed form solutions of nonlinear equations. Some examples, including the coupled Burger’s equation, compacton k ( n , n ) equation, Zakharov–Kuznetsov Zk ( n , n ) equation, and KdV and mKdV equations are given to show the effectiveness of the coupled VIM–Laplace–Padé and VIM–Padé techniques.