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Zbl 0992.35092
Wazwaz, A.M.
Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. (English)
[J] Chaos Solitons Fractals 12, No.12, 2283-2293 (2001). ISSN 0960-0779

Summary: We propose a reliable algorithm to develop exact and approximate solutions for the nonlinear dispersive KdV equation with initial profile. The approach rests mainly on Adomian decomposition method. The single soliton, the two-soliton and rational solutions are obtained by this method. Numerical examples are tested to illustrate the pertinent feature of the proposed algorithm.

MSC 2000:: *35Q53 KdV-like equations
35C05 Solutions of PDE in closed form
35A25 Other special methods (PDE)
37K40 Soliton theory, asymptotic behavior of solutions

Keywords: exact and approximate solutions for the nonlinear dispersive KdV equation; Adomian decomposition method

Cited in: Zbl 1051.65100

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