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

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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