TY  - JOUR
AU  - Ganjavi, B. 
AU  - Mohammadi, H. 
AU  - Ganji, D.D. 
AU  - Barari, A. 
PY  - 2008
TI  - Homotopy Perturbation Method and Variational Iteration Method for Solving Zakharov-Kuznetsov Equation
JF  - American Journal of Applied Sciences
VL  - 5
IS  - 7
DO  - 10.3844/ajassp.2008.811.817
UR  - https://thescipub.com/abstract/ajassp.2008.811.817
AB  - 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.