Paper Info
Title
Some Applications of the (′/, 1/)-Expansion Method for Finding Exact Traveling Wave Solutions of Nonlinear Fractional Evolution Equations.
Abstract
In this paper, the (G '/G,1/G)-expansion method is applied to acquire some new, exact solutions of certain interesting, nonlinear, fractional-order partial differential equations arising in mathematical physics. The considered equations comprise the time-fractional, (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation, and the space-time-fractional generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) system in the sense of the conformable fractional derivative. Applying traveling wave transformations to the equations, we obtain the corresponding ordinary differential equations in which each of them provides a system of nonlinear algebraic equations when the method is used. As a result, many analytical exact solutions obtained of these equations are expressed in terms of hyperbolic function solutions, trigonometric function solutions, and rational function solutions. The graphical representations of some obtained solutions are demonstrated to better understand their physical features, including bell-shaped solitary wave solutions, singular soliton solutions, solitary wave solutions of kink type, and so on. The method is very efficient, powerful, and reliable for solving the proposed equations and other nonlinear fractional partial differential equations with the aid of a symbolic software package.
Year
DOI
Venue
2019
10.3390/sym11080952
SYMMETRY-BASEL
Keywords
DocType
Volume
time-fractional (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation,space-time-fractional generalized Hirota-Satsuma coupled Korteweg-de Vries system,(G '/G,1/G)-expansion method,conformable fractional derivative
Journal
11
Issue
Citations 
PageRank 
8
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Sekson Sirisubtawee100.68
Sanoe Koonprasert201.35
Surattana Sungnul300.68