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

American Journal of Applied Sciences

A. Barari¹  H. Mohammadi¹  B. Ganjavi¹  D. D. Ganji¹ 

关键词: Zakharov-Kuznetsov equation;    Variational;    Homotopy perturbation method;   

DOI  :  10.3844/ajassp.2008.811.817

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown