SITEM for the Conformable Space-Time Fractional Coupled KD Equations

Year 2018, Volume: 3 Issue: 3, 223 - 233, 29.12.2018

Handan Yaslan , Ayşe Girgin

https://doi.org/10.30931/jetas.452732

Cited By: 1

Abstract

In the present paper, new analytical solutions for the space-time fractional coupled Konopelchenko-Dubrovsky (KD) equations are obtained by using the simplified $\tan(\frac{\phi (\xi) }{2})$-expansion method (SITEM). Here, fractional derivatives are described in conformable sense. The obtained traveling wave solutions are expressed by the trigonometric, hyperbolic, exponential and rational functions. Simulation of the obtained solutions are given at the end of the paper.

Keywords

Space-time fractional coupled KD equations, Simplified $\tan(\frac{\phi (\xi) }{2})$-expansion method (SITEM), Conformable derivative.

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