Research Article Open Access

Homotopy Perturbation Method and Variational Iteration Method for Solving Zakharov-Kuznetsov Equation

B. Ganjavi1, H. Mohammadi1, D.D. Ganji1 and A. Barari1
  • 1 ,
American Journal of Applied Sciences
Volume 5 No. 7, 2008, 811-817

DOI: https://doi.org/10.3844/ajassp.2008.811.817

Submitted On: 10 October 2007 Published On: 31 July 2008

How to Cite: Ganjavi, B., Mohammadi, H., Ganji, D. & Barari, A. (2008). Homotopy Perturbation Method and Variational Iteration Method for Solving Zakharov-Kuznetsov Equation. American Journal of Applied Sciences, 5(7), 811-817. https://doi.org/10.3844/ajassp.2008.811.817

Abstract

This article investigates a nonlinear dispersive Zakharov-Kuznetsov ZK (3, 3, 3) equation. This equation governs the behavior of weakly nonlinear ion-acoustic waves in plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) are implemented for solving the ZK equation. Homotopy results were compared with results of Adomian decomposition Method (ADM). The results reveal that the HPM and VIM are very effective, convenient and quite accurate to systems of nonlinear partial differential equations.

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Keywords

  • Zakharov-Kuznetsov equation
  • Variational
  • Homotopy perturbation method