Exact solutions of the fractional Sharma-Tasso-Olver equation and the fractional Bogoyavlenskii’s breaking soliton equations

摘要

In this work, we adopt the generalized Kudryashov method to produce exact wave solutions for some space-time fractional partial differential equations. The Jumaries modified Riemann-Liouville is considered. The proposed method is implemented to the fractional Sharma-Tasso-Olver equation and the fractional Bogoyavlenskii’s breaking soliton equations. Various solutions containing hyperbolic tangent function, trigonometric tangent function and exponential functions are obtained by this method. Simulations of some obtained solutions are given at the end of the paper.