Author : MOHAMMED O. AL-AMR
Affiliation : University of Mosul
Country : Iraq
Category : Computer Science & Information Technology
Volume, Issue, Month, Year : 8, 6, April, 2018
Abstract :
In this paper, based on the definition of conformable fractional derivative, the functional variable method (FVM) is proposed to seek the exact traveling wave solutions of two higherdimensional space-time fractional KdV-type equations in mathematical physics, namely the (3+1)-dimensional space–time fractional Zakharov-Kuznetsov (ZK) equation and the (2+1)- dimensional space–time fractional Generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony (GZK-BBM) equation. Some new solutions are procured and depicted. These solutions, which contain kink-shaped, singular kink, bell-shaped soliton, singular soliton and periodic wave solutions, have many potential applications in mathematical physics and engineering. The simplicity and reliability of the proposed method is verified
Keyword : Functional Variable Method, Fractional Partial Differential Equations, Exact Solutions, Conformable Fractional Derivative
For More Details : https://airccj.org/CSCP/vol8/csit88611.pdf
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