Consistent Riccati Expansion Method and Its Applications to Nonlinear Fractional Partial Differential Equations

被引：0
|
作者：
黄晴
王丽真
左苏丽
机构：
[1] School of Mathematics,Northwest University
[2] Center for Nonlinear Studies,Northwest University
来源：
Communications in Theoretical Physics | 2016年 / 65卷 / 02期
基金：
中国国家自然科学基金;
关键词：
consistent Riccati expansion; fractional partial differential equation; Riccati equation; modified Riemann–Liouville fractional derivative; exact solution;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
In this paper, a consistent Riccati expansion method is developed to solve nonlinear fractional partial differential equations involving Jumarie’s modified Riemann–Liouville derivative. The efficiency and power of this approach are demonstrated by applying it successfully to some important fractional differential equations, namely, the time fractional Burgers, fractional Sawada–Kotera, and fractional coupled mKdV equation. A variety of new exact solutions to these equations under study are constructed.
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页码：177 / 184
页数：8
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