SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger's Equations

Year 2021, , 108 - 123, 30.09.2021

Handan Yaslan

https://doi.org/10.36753/mathenot.734019

Cited By: 1

Abstract

In the present paper, new analytical solutions for the conformable space-time fractional (2+1)-dimensional breaking soliton, third-order KdV and Burger's equations are obtained by using the simplified $\tan \left(\frac{\varphi \left(\xi \right)}{2}\right)$-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 (2+1)-dimensional breaking soliton equations, Space-time fractional third-order KdV equation, Space-time fractional Burger's equation, Simplified $\tan(\frac{\phi (\xi) }{2})$-expansion method (SITEM)

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