Obtained solutions are new andmay be of significant importance in the field of plasma physics to investigate the waves inthe magnetized plasma and in the dust plasma.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this article, we study the (n+1)-dimensional space time fractional Zakharov-Kuznetsov equation for calculating the exact solutions.
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Temel Bulgular & Veri:For this purpose fractional derivative is usedn this article, we study the (n+1)-dimensional space time fractional Zakharov-Kuznetsovin the form of modified Riemann-Liouville derivatives.
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Sonuç & Katkı:Obtained solutions are new andmay be of significant importance in the field of plasma physics to investigate the waves inthe magnetized plasma and in the dust plasma.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
In this article, we study the (n+1)-dimensional space time fractional Zakharov-Kuznetsov equation for calculating the exact solutions. For this purpose fractional derivative is usedn this article, we study the (n+1)-dimensional space time fractional Zakharov-Kuznetsovin the form of modified Riemann-Liouville derivatives. Complex fractional transformation is applied for transforming the nonlinear partial differential equation into anothernonlinear ordinary differential equation. Exact solutions are obtained by using modifiedsimple equation method and (1⁄G' )-expansion method. Obtained solutions are new andmay be of significant importance in the field of plasma physics to investigate the waves inthe magnetized plasma and in the dust plasma.
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Bu Makaleye Atıf Yap
TUNA, A., Ali, M. N., HUSNINE, S. M., NOOR, S. (2022). Exact Solutions of (n+1)-Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation. Hittite Journal of Science and Engineering, Cilt: 5 - Sayı: 3, 179–183. https://ajindex.com/articles/538035
Gepreel KA, Omran S. Exact solutions of nonlinear fractional partial differential equation. Chinese Physics B 21(11) (2017) 110204
Guner O, Aksoy E, Bekir A, Cevikel AC. Different methods for (3+1)-dimensional space-time fractional modified KdVZakharov-Kuznetsov equation. Computers & Mathematics with Applications 71(6) (2016) 1259-1269
Jumarie G. Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions. Applied Mathematics Letters 22(3) (2009) 378-385
Khan K, Akbar MA. Exact solutions of the (2+1)-dimensional cubic Klein–Gordon equation and the (3+1)-dimensional Zakharov-Kuznetsov equation using the modified simple equation method. Journal of Association of Arab Universities for Basic and Applied Sciences 15 (2014) 74–81
Lu B. The first integral method for some time fractional differential equation. Journal of Mathematical Analysis and Applications 395(2) (2012) 684-693
Miller KS, Ross B. An Introduction to Fractional Calculus and Fractional Differential Equations, John Wiley, New York, 1993
Bekir A, Guner O. Exact solutions of nonlinear fractional differential equations by (G^'⁄G)-expansion method. Chinese Physics B 22(11) (2013) 110202
Chen C, Jiang Y-L. Lie group analysis for two classes of fractional differential equations. Communications in Nonlinear Science and Numerical Simulation 26(1-3) (2015) 24-35
Pandir Y, Gurefe Y. New exact solutions of the generalized fractional Zakharov-Kuznetsov equations. Life Science Journal 10(2) (2013) 2701-2705
Zheng B. Exp-function method for solving fractional partial differential equations. The Scientific World Journal 2013 (2013) 465723
Zakharov VE, Kuznetsov EA. On three-dimensional solitons. Soviet Physics 39 (1974) 285-288
Daghan D, Donmez O. Exact solutions of Gardner equation and their application to the different physical plasma. Brazilian Journal of Physics 46(3) (2016) 321-333.