Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method
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Apr 10, 2020
About this article
Published Online: Apr 10, 2020
Page range: 437 - 446
Received: Jun 13, 2019
Accepted: Dec 10, 2019
DOI: https://doi.org/10.2478/amns.2020.1.00041
Keywords
© 2019 Muammer Topsakal et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.