(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 : 49 | Download : 101

Publication Date : 2023-07-23

Article Type : Research Paper

Abstract :The insert ignore into journalissuearticles values(G\`/G);-expansion method with the aid of symbolic computational system can be used to obtain the traveling wave solutions insert ignore into journalissuearticles values(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