Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method

被引：22
|
作者：
Topsakal, Muammer [1 ]
Tascan, Filiz [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2020年 / 5卷 / 01期
关键词：
Space-time fractional Klein-Gordon equation; Time-fractional Zoomeron Equation; Conformable fractional derivative; Auxiliary equation method; FUNCTIONAL VARIABLE METHOD; DIFFERENTIAL-EQUATIONS; (G'/G)-EXPANSION METHOD; SOLITON-SOLUTIONS;
D O I：
10.2478/AMNS.2020.1.00041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the new exact solutions of nonlinear conformable fractional partial differential equations(CFPDEs) are achieved by using auxiliary equation method for the nonlinear space-time fractional Klein-Gordon equation and the (2+1)-dimensional time-fractional Zoomeron equation. The technique is easily applicable which can be applied successfully to get the solutions for different types of nonlinear CFPDEs. The conformable fractional derivative(CFD) definitions are used to cope with the fractional derivatives.
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页码：437 / 446
页数：10
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