Modified Trial Equation Method to the Nonlinear Fractional Sharma–Tasso–Olever Equation

Abstract

In this paper, we apply the modified trial equation method to fractional partial differential equations. The fractional partial differential equation can be converted into the nonlinear non-fractional ordinary differential equation by the fractional derivative and traveling wave transformation. So, we get some traveling wave solutions to the time-fractional Sharma-Tasso-Olever (STO) equation by the using of the complete discrimination system for polynomial method. The acquired results can be demoted by the soliton solutions, single-king solution, rational function solutions and periodic solutions. Index Terms—The modified trial equation method, fractional Sharma-Tasso-Olever equation, soliton solution, periodic solutions.