Explicit solutions for space-time fractional partial differential equations in mathematical physics by a new generalized fractional Jacobi elliptic equation-based sub-equation method

Abstract

In this paper, a new generalized fractional Jacobi elliptic equation-based sub-equation method is proposed to solve space-time fractional partial differential equations in mathematical physics. This method is applied to seek exact solutions for two space-time fractional partial differential equations: the space-time fractional KP-BBM equation and the space-time fractional KdV equation. With the aid of mathematical software, a variety of exact solutions for them in the forms of the Jacobi elliptic functions are obtained.