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

Authors : Handan Yaslan

Pages : 108-123

Doi:10.36753/mathenot.734019

View : 17 | Download : 8

Publication Date : 2021-09-30

Article Type : Research

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 ( ϕ ( ξ ) 2 ) tan⁡(ϕ(ξ)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 (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)