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

Author:

DJİLALİ Medjahed1ORCID,ALI Hakem1ORCID

Affiliation:

1. Djilali Liabes university

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.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

Reference20 articles.

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2. [2] L. Bangqing, X. Meiping, M. Yulan, , New exact solutions of (2+1)-dimensional generalization of shallow water wave equation by (G'/G)-expansion method, Applied Mechanics and Materials Vols 20-23 (2010) pp 1516-1521.

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