The extended auxiliary equation method for the KdV equation with variable coefficients |
| |
| Authors: | Shi Lan-Fang Chen Cai-Sheng and Zhou Xian-Chun |
| |
| Institution: | College of Mathematics, Hohai University, Nanjing 210098, China; College of Mathematics, Hohai University, Nanjing 210098, China; College of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China |
| |
| Abstract: | This paper applies an extended auxiliary equation method to obtain exact solutions of the KdV equation with variable coefficients. As a result, solitary wave solutions, trigonometric function solutions, rational function solutions, Jacobi elliptic doubly periodic wave solutions, and nonsymmetrical kink solution are obtained. It is shown that the extended auxiliary equation method, with the help of a computer symbolic computation system, is reliable and effective in finding exact solutions of variable coefficient nonlinear evolution equations in mathematical physics. |
| |
| Keywords: | extended auxiliary equation method KdV equation with variable coefficients exact solutions |
|
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|
