Backlund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations

被引:118
作者
Lu, Bin [1 ]
机构
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
关键词
Backlund transformation; Fractional Riccati equation; Exact solution; Fractional differential equation;
D O I
10.1016/j.physleta.2012.05.013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the Backlund transformation of fractional Riccati equation are employed for constructing the exact solutions of nonlinear fractional partial differential equations. The power of this manageable method is presented by applying it to several examples. This approach can also be applied to other nonlinear fractional differential equations. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:2045 / 2048
页数:4
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