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


YILDIRIM A.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, cilt.25, ss.1127-1136, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 12
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1002/cnm.1146
  • Dergi Adı: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Sayfa Sayıları: ss.1127-1136

Özet

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 ail initial solution can lead to the needed exact solution by a few iterations. Copyright (C) 2008 John Wiley & Sons, Ltd.