Consistent Riccati Expansion Method and Its Applications to Nonlinear Fractional Partial Differential Equations |
| |
Authors: | Qing Huang Li-Zhen Wang Su-Li Zuo |
| |
Institution: | School of Mathematics, Northwest University, Xi'an 710069, China;
Center for Nonlinear Studies, Northwest University, Xi'an 710069, China |
| |
Abstract: | 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. |
| |
Keywords: | consistent Riccati expansion fractional partial differential equation Riccati equation modified Riemann-Liouville fractional derivative exact solution |
本文献已被 CNKI 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|