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On the solution of the nonlinear Korteweg–de Vries equation by the homotopy perturbation method.

Authors :
Yildirim, Ahmet
Source :
Communications in Numerical Methods in Engineering. Dec2009, Vol. 25 Issue 12, p1127-1136. 10p.
Publication Year :
2009

Abstract

In this paper, the homotopy perturbation method is used to implement the nonlinear Korteweg–de Vries equation. The analytical solution of the equation is calculated in the form of a convergent power series with easily computable components. A suitable choice of an initial solution can lead to the needed exact solution by a few iterations. Copyright © 2008 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10698299
Volume :
25
Issue :
12
Database :
Academic Search Index
Journal :
Communications in Numerical Methods in Engineering
Publication Type :
Academic Journal
Accession number :
45479528
Full Text :
https://doi.org/10.1002/cnm.1146