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

Year 2021, Volume: 13 Issue: 1, 68 - 80, 30.06.2021

Md. Habibul Bashar , Tasnim Tahseen Nur Hasan Shahen

https://izlik.org/JA76MW26SM

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

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