Solitary pattern solutions for fractional Zakharov-Kuznetsov equations with fully nonlinear dispersion

被引：9
作者：
Golbabai, A. [1 ]
Sayevand, K. [1 ,2 ]
机构：
[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran
[2] Malayer Univ, Dept Math, Malayer, Iran
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 04期
关键词：
Jumarie fractional derivative; Homotopy perturbation method; Fractional Zakharov-Kuznetsov equations; HOMOTOPY PERTURBATION METHOD; DIFFERENTIAL-EQUATIONS; CALCULUS; SERIES; MODEL;
D O I：
10.1016/j.aml.2011.10.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fractional Zakharov-Kuznetsov equations are increasingly used in modeling various kinds of weakly nonlinear ion acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. This has led to a significant interest in the study of these equations. In this work, solitary pattern solutions of fractional Zakharov-Kuznetsov equations are investigated by means of the homotopy perturbation method with consideration of Jumarie's derivatives. The effects of fractional derivatives for the systems under consideration are discussed. Numerical results and a comparison with exact solutions are presented. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：757 / 766
页数：10
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