EXACT SOLUTIONS FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS BY PROJECTIVE RICCATI EQUATION METHOD

被引：0

作者：

Zheng, Bin ^{[1
]}

机构：

[1] 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 | 2015年 / 77卷 / 01期

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; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：99 / 108

页数：10

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