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

Makaleler > Tam Makale · 2008

Yazarlar: Ahmet YILDIRIM

Communications in Numerical Methods in Engineering, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2008, cilt 25, ss 1127-1136

DOI: 10.1002/cnm.1146

Özet

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.

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