Application of the Advanced exp(-φ(ξ))-Expansion Method to the Nonlinear Conformable Time-Fractional Partial Differential Equations

Authors : Md Habibul BASHAR, Tasnim TAHSEEN, Nur Hasan SHAHEN

Pages : 68-80

Doi:10.47000/tjmcs.725815

View : 11 | Download : 14

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :With the assistance of representative calculation programming, the present paper examines the careful voyaging wave arrangements from the nonlinear time fractional modified Kawahara equation by utilizing the advanced $\text{ exp}insert ignore into journalissuearticles values( -\varphi insert ignore into journalissuearticles values( \xi ); $-expansion strategy in-terms of hyperbolic, trigonometric and rational function with some appreciated parameters. The dynamics nonlinear wave solution is examined and demonstrated by maple18 in 3-D, 2-d plots and contour plot with specific values of the intricate parameters are plotted. The advanced $\text{ exp}insert ignore into journalissuearticles values( -\varphi insert ignore into journalissuearticles values( \xi ); );$-expansion method is reliable treatment for searching essential nonlinear waves that enrich a variety of dynamic models that arises in engineering fields.
Keywords : Conformable fractional derivative, advanced \text exp \varphi \xi, , expansion method, exact solution, time fractional modified Kawahara equation