The Homotopy Perturbation Method for Solving the Modified Korteweg-de Vries Equation


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Yildirim A.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.63, ss.621-626, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 63
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1515/zna-2008-10-1102
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.621-626

Özet

The homotopy perturbation method (HPM) is employed successfully for solving the modified Korteweg-de Vries equation. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak non-linearity assumptions or perturbation theory. The results show applicability, accuracy and efficiency of the HPM in solving nonlinear differential equations. It is predicted that the HPM can be widely applied in science and engineering problems.