Abstract
•We obtain the wave solutions for the Sharma-Tasso-Olver equitation.•The wave solutions for the higher order Sharma-Tasso-Olver equitation are obtain.•The extension exponential rational function method is applied to get the wave solutions.
A new and general wave traveling solutions for Sharma-Tasso-Olver and (2 + 1)-dimensional Sharma-Tasso-Olver equation are deduced by using the extension exponential rational function method. The solution’s graphics described the physical phenomena of the Sharma-Tasso-Olver dynamical system. The Wolfram Mathematica program used to compute the solutions and the graphics plots in this study.