Article
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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Abstract
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.
Keywords
Space-time fractional Klein-Gordon equation, Time-fractional Zoomeron Equation, Conformable fractional derivative, Auxiliary equation method, 26A33
Citation
Topsakal, M. & TaŞcan, F. (2020). Exact travelling wave solutions for space-time fractional klein-gordon equation and (2+1)-Dimensional time-fractional zoomeron equation via auxiliary equation method. Applied Mathematics and Nonlinear Sciences, 5(1), 437–446. https://doi.org/10.2478/amns.2020.1.00041
M. Topsakal and F. TaŞcan, “Exact travelling wave solutions for space-time fractional klein-gordon equation and (2+1)-Dimensional time-fractional zoomeron equation via auxiliary equation method,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, pp. 437–446, 2020, doi: 10.2478/amns.2020.1.00041.
Topsakal M, TaŞcan F. Exact travelling wave solutions for space-time fractional klein-gordon equation and (2+1)-Dimensional time-fractional zoomeron equation via auxiliary equation method. Applied Mathematics and Nonlinear Sciences. 2020;5(1):437–446. doi:10.2478/amns.2020.1.00041.
Topsakal, M. and TaŞcan, F. (2020), ‘Exact travelling wave solutions for space-time fractional klein-gordon equation and (2+1)-Dimensional time-fractional zoomeron equation via auxiliary equation method’, Applied Mathematics and Nonlinear Sciences, 5(1), pp. 437–446. Available at: https://doi.org/10.2478/amns.2020.1.00041.
Topsakal, Muammer, and Filiz TaŞcan. “Exact Travelling Wave Solutions for Space-time Fractional Klein-gordon Equation and (2+1)-Dimensional Time-fractional Zoomeron Equation via Auxiliary Equation Method.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, 2020, pp. 437–446. https://doi.org/10.2478/amns.2020.1.00041.
Topsakal, Muammer, and Filiz TaŞcan. “Exact Travelling Wave Solutions for Space-time Fractional Klein-gordon Equation and (2+1)-Dimensional Time-fractional Zoomeron Equation via Auxiliary Equation Method.” Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 437–446. https://doi.org/10.2478/amns.2020.1.00041.
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Published by: Engineering Journals
