An efficient iterative method for solving Zakharov-Kuznetsov Equation

21st International Conference on Integrable Systems and Quantum Symmetries

Saravi, Masoud^1 ; Nikkar, Ali^2

Department of Mathematics, Islamic Azad University, Nour Branch, Nour 731, Iran^1

Faculty of Civil Engineering, University of Tabriz, Tabriz, Iran^2

关键词: Adomian decomposition methods;    Approximate methods;    Computational effort;    Homotopy Perturbation Method (HPM);    Rapid convergence;    Variational iteration method;    Weakly non-linear;    Zakharov-Kuznetsov equation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012029/pdf
DOI  :  10.1088/1742-6596/474/1/012029

来源: IOP

【 摘 要 】

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.