- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 1
- Application of the Advanced exp(-φ(ξ))-Expansion Method to the Nonlinear Conformable Time-Fractional...
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 : 5 | Download : 1
Publication Date : 2021-06-30
Article Type : Research
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}( -\varphi ( \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 $\text{ exp}( -\varphi ( \xi ) )$-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