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

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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.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 20)
Pages:
1-8
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.20.1
Citation:
M. N. Ali et al., "Soliton Solutions of Space-Time Fractional-Order Modified Extended Zakharov-Kuznetsov Equation in Plasma Physics", Bulletin of Mathematical Sciences and Applications, Vol. 20, pp. 1-8, 2018
Online since:
November 2018
Authors:
Muhammad Nasir Ali, Syed Muhammad Husnine, Sana Noor, Turgut Ak
Keywords:
(1/G')-Expansion Method, Bright Soliton Solutions, Complex Fractional Transformation, Dark Soliton Solutions, Fractional Derivative, Zakharov Kuznetsov Equation
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Distribution:
Open Access

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This work is licensed under a
Creative Commons Attribution 4.0 International License

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