The Homotopy Perturbation Method for Solving the Modified Korteweg-de Vries Equation
Articles > Article · 2008
Authors: Ahmet YILDIRIM
Zeitschrift für Naturforschung A, Journal Indexed in SCI Expanded, International, WoS, 2008, vol 63, pp 621-626
Summary
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 nonlinearity 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.