The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations |
| |
Authors: | Shimin Guo Liquan Mei Yubin ZhouChao Li |
| |
Institution: | a School of Science, Xi’an Jiaotong University, Xi’an, 710049, China b School of Mathematics and Statistics, Lan-zhou University, Lan-zhou 730000, China |
| |
Abstract: | In this paper, the extended Riccati equation mapping method is proposed to seek exact solutions of variable-coefficient nonlinear evolution equations. Being concise and straightforward, this method is applied to certain type of variable-coefficient diffusion-reaction equation and variable-coefficient mKdV equation. By means of this method, hyperbolic function solutions and trigonometric function solutions are obtained with the aid of symbolic computation. It is shown that the proposed method is effective, direct and can be used for many other variable-coefficient nonlinear evolution equations. |
| |
Keywords: | Extended Riccati equation mapping method Nonlinear evolution equations Variable-coefficient diffusion-reaction equation Variable-coefficient mKdV equation |
本文献已被 ScienceDirect 等数据库收录! |
|