Novel Exact Solitary Wave Solutions for the Time Fractional Generalized Hirota–Satsuma Coupled KdV Model Through the Generalized Kudryshov Method

Abstract

In the current article, the generalized Kudryshov method is applied to determine exact solitary wave solutions for the time-fractional generalized Hirota-Satsuma coupled KdV model. Here, the fractional derivative is illustrated in the conformable derivative. Therefore, plentiful exact traveling wave solutions are achieved for this model, which encourage us to enlarge, a novel technique to gain unsteady solutions of autonomous nonlinear evolution models that occurs in physical and engineering branches. The obtained traveling wave solutions are expressed in terms of the exponential and rational functions. It is effortless to widen that this method is powerful and will be applied in further tasks to create advance exclusively innovative solutions to other higher-order nonlinear conformable fractional differential models in engineering problems.