SOLVING SOME IMPORTANT NONLINEAR TIME-FRACTIONAL EVOLUTION EQUATIONS BY USING THE (G’/G)-EXPANSION METHOD
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Published:2020-12-30
Issue:4
Volume:20
Page:815-832
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ISSN:2068-3049
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Container-title:Journal of Science and Arts
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language:en
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Short-container-title:J. Sci. Arts
Author:
DJILALI MEDJAHED1, HAKEM ALI2
Affiliation:
1. v / Djillali Liabes University, Laboratory ACEDP, 22000 Sidi-Bel-Abbes, Algeria 2. Djillali Liabes University, Laboratory ACEDP, 22000 Sidi-Bel-Abbes, Algeria
Abstract
The aim of the present study is to find the exact solutions for three generalized nonlinear time-fractional evolution equations, Kaup-Kupershmidt equation, Burgers-Fisher equation and, Shallow Water Wave equation. By using the (G’/G)-expansion method and depending on second order linear ODE as well as the complex transformation, three kinds of solutions (hyperbolic, trigonometric, and rational) are obtained. With the help of Mathematica software package, difficult algebraic systems are solved and surfaces of some particular solutions of the equations under study are plotted.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
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