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 : 28 | Download : 8

Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :In the present paper, new analytical solutions for the conformable space-time fractional insert ignore into journalissuearticles values(2+1);-dimensional breaking soliton, third-order KdV and Burger`s equations are obtained by using the simplified tan insert ignore into journalissuearticles values( ϕ insert ignore into journalissuearticles values( ξ ); 2 ); tan⁡insert ignore into journalissuearticles values(ϕinsert ignore into journalissuearticles values(ξ);2); -expansion method insert ignore into journalissuearticles values(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 taninsert ignore into journalissuearticle

ORIGINAL ARTICLE URL