The Improved exp(−ϕ(ξ)) Fractional Expansion Method and its Application to Nonlinear Fractional Sharma-Tasso-Olver Equation

[摘要] In this paper, we propose a new method called exp(−ϕ(ξ)) fractional expansion method to seek traveling wave solutions of the nonlinear fractional Sharma-Tasso-Olver equation. The result reveals that the method together with the new fractional ordinary differential equation is a very influential and effective tool for solving nonlinear fractional partial differential equations in mathematical physics and engineering. The obtained solutions have been articulated by the hyperbolic functions, trigonometric functions and rational functions with arbitrary constants.

[关键词] Improved exp(−ϕ(ξ))fractional expansion method;Nonlinear fractional Sharma-Tasso-Olver equation