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Analytical Approach to Fractional Zakharov-Kuznetsov Equations by He's Homotopy Perturbation Method

Analytical Approach to Fractional Zakharov-Kuznetsov Equations by He's Homotopy Perturbation Method

作     者:Ahmet Yildirim Yagmur Gülkanat 

作者机构:Ege University Department of Mathematics 

出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))

年 卷 期:2010年第53卷第6期

页      面:1005-1010页

核心收录:

学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主  题:homotopy perturbation method fractional Zakharov-Kuznetsov equations fractional calculus Caputo sense 

摘      要:The aim of this paper is to obtain the approximate analytical solution of a fractional Zakharov-Kuznetsov equation by using homotopy perturbation method (HPM). The fractional derivatives are described in the Caputo sense. Several examples are given and the results are compared to exact solutions. The results reveal that the method is very effective and simple.

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