Abstract
This paper investigates the solutions of the conformable fractional Sharma-Tasso-Olever equation with the help of Atangana’s conformable differential operator. In this respect, an efficient (G′/G)-expansion method is used for obtaining the new solitary wave solutions. This work addresses the physical and dynamic behavior of some new exact trigonometric, hyperbolic, and rational solitary wave solutions in the form of 3D-plots, contour plots, and 2D- plots using different measures of parameters. The graphical representation of these results is very helpful for understanding the real physical importance of the studied model equation. The obtained results are new and more general, and show the efficiency of the proposed method for the analytical treatment of nonlinear problems in mathematical physics and engineering and helpful in better understanding the propagating wave dynamics in diverse situations.
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