(G'/G)-EXPANSION METHOD TO SEEK TRAVELING WAVE SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PDES ARISING IN NATURAL SCIENCES

Year 2023, Volume: 7 Issue: 2, 303 - 318, 23.07.2023

Medjahed Djilali , Hakem Alı

https://doi.org/10.31197/atnaa.1125691

Cited By: 1

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.

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