Soliton Solutions of Space-Time Fractional-Order Modified Extended Zakharov-Kuznetsov Equation in Plasma Physics

Muhammad Ali, S. Husnine, Sana Noor, Turgut Ak
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引用次数: 1

Abstract

The aim of this article is to calculate the soliton solutions of space-time fractional-order modified extended Zakharov-Kuznetsov equation which is modeled to investigate the waves in magnetized plasma physics. Fractional derivatives in the form of modified Riemann-Liouville derivatives are used. Complex fractional transformation is applied to convert the original nonlinear partial differential equation into another nonlinear ordinary differential equation. Then, soliton solutions are obtained by using (1/G')-expansion method. Bright and dark soliton solutions are also obtain with ansatz method. These solutions may be of significant importance in plasma physics where this equation is modeled for some special physical phenomenon.
等离子体物理中时空分数阶修正扩展Zakharov-Kuznetsov方程的孤子解
本文的目的是计算时空分数阶修正扩展Zakharov-Kuznetsov方程的孤子解,该方程是为了研究磁化等离子体物理中的波而建立的。分数阶导数以改进的黎曼-刘维尔导数的形式被使用。采用复分数变换将原非线性偏微分方程转化为另一个非线性常微分方程。然后用(1/G’)展开法得到孤子解。用ansatz法也得到了亮孤子解和暗孤子解。这些解在等离子体物理学中可能具有重要意义,在等离子体物理学中,这个方程是为一些特殊的物理现象建模的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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