Open AccessHomotopy Perturbation Method and Variational Iteration Method for Solving Zakharov-Kuznetsov Equation
Author(s) -
Behnoud Ganjavi,
Hakimeh Mohammadi,
D.D. Ganji,
Amin Barari
Publication year - 2008
Publication title -
american journal of applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1554-3641
pISSN - 1546-9239
DOI - 10.3844/ajassp.2008.811.817
Subject(s) - adomian decomposition method , homotopy analysis method , homotopy perturbation method , mathematics , nonlinear system , isothermal process , partial differential equation , mathematical analysis , plasma , homotopy , magnetic field , perturbation (astronomy) , physics , thermodynamics , pure mathematics , quantum mechanics
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