Abstract
In this paper, we apply new modified of Variational Iteration Method (VIM-II) which is a kind of analytical approximate method then, use it to solve Zakharov-Kuznetsov (ZK) equation that governs the behavior of the weakly nonlinear ion-acoustic waves in plasma. Two cases of this equation are considered and the results are compared with those that obtained by Adomian Decomposition Method (ADM) and Variational Homotopy Perturbation Method (VHPM). The results illustrate that proposed technique yields a very rapid convergence of the solution as well as low computational effort.
Highlights
The ZK equation [1] is one of two well-studied canonical two-dimensional extensions of the Korteweg-de Vries equation [2]
The results reveal that these methods are very effective and convenient in predicting the solution of such problems, and it is predicted that the VIM-II can find a wide application in new engineering problems
Implementation of VIM-II In order to illustrate the effectiveness of the proposed method, we implement it to solve the ZK equation with different numerical examples
Summary
This content has been downloaded from IOPscience. Please scroll down to see the full text. 2013 J. XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21)
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