- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 2
- (G'/G)-EXPANSION METHOD TO SEEK TRAVELING WAVE SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PDES ARISING ...
(G'/G)-EXPANSION METHOD TO SEEK TRAVELING WAVE SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PDES ARISING IN NATURAL SCIENCES
Authors : Medjahed DJİLALİ, Hakem ALI
Pages : 303-318
Doi:10.31197/atnaa.1125691
View : 41 | Download : 93
Publication Date : 2023-07-23
Article Type : Research Article
Abstract :The (G\'/G)-expansion method with the aid of symbolic computational system can be used to obtain the traveling wave solutions (hyperbolic, trigonometric and rational solutions) for nonlinear time-fractional evolution equations arising in mathematical physics and biology. In this work, we will process the analytical solutions of the time-fractional classical Boussinesq equation, the time-fractional Murray equation, and the space-time fractional Phi-four equation. With the fact that the method which we will propose in this paper is also a standard, direct and computerized method, the exact solutions for these equations are obtained.Keywords : Exact solutions, Traveling wave solutions, Boussinesq equation, Murray equation, Phi-four equation.