Construction of solitary wave solutions and rational solutions for the KdVequation by Adomian decomposition method

Authors
Wazwaz, AM
Citation
Am. Wazwaz, Construction of solitary wave solutions and rational solutions for the KdVequation by Adomian decomposition method, CHAOS SOL F, 12(12), 2001, pp. 2283-2293
Citations number
31
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
12
Issue
12
Year of publication
2001
Pages
2283 - 2293
Database
ISI
SICI code
0960-0779(200109)12:12<2283:COSWSA>2.0.ZU;2-I
Abstract
In this paper, we propose a reliable algorithm to develop exact and approxi mate solutions for the nonlinear dispersive KdV equation with initial profi le. The approach rests mainly on Adomian decomposition method. The single s oliton, the two-soliton and rational solutions are obtained by this method. Numerical examples are tested to illustrate the pertinent feature of the p roposed algorithm. (C) 2001 Elsevier Science Ltd. All rights reserved.