标题：EXACT SOLUTIONS FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS BY PROJECTIVE RICCATI EQUATION METHOD
作者机构：[Zheng, B]Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China.
通讯作者地址：[Zheng, B]Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China.
来源：UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
关键词：Projective Riccati equation method; Fractional partial differential; equation; Exact solution; Nonlinear fractional complex transformation;; Fractional Whitham-Broer-Kaup equation; Fractional Sharma-Tasso-Olever; equation
摘要：In this paper, the projective Riccati equation method is applied to find exact solutions for fractional partial differential equations in the sense of modified Riemann-Liouville derivative. Based on a nonlinear fractional complex transformation, a certain fractional partial differential equation can be turned into another ordinary differential equation of integer order. For illustrating the validity of this method, we apply it to solve the space-time fractional Whitham-Broer-Kaup (WBK) equations and the time fractional Sharma-Tasso-Olever (STO) equation, and as a result, some new exact solutions for them are established.