| New periodic solutions to a generalized Hirota－Satsuma coupled KdV system |
| |
| 引用本文： | 闫庆友,张玉峰,魏小鹏.New periodic solutions to a generalized Hirota－Satsuma coupled KdV system[J].中国物理 B,2003,12(2):131-135. |
| |
| 作者姓名： | 闫庆友 张玉峰 魏小鹏 |
| |
| 作者单位： | Center of Advanced Design Technology, Dalian University, Dalian 116622, China; School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China;Institute of Computation Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China; School of Information Science and Engineering, Shandong University of Science and Technology, Taian 271019, China;Center of Advanced Design Technology, Dalian University, Dalian 116622, China |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos 50275013 and G60174037). |
| |
| 摘 要： | Using expansions in terms of the Jacobi elliptic cosine function and third Jacobi elliptic function, some new periodic solutions to the generalized Hirota－Satsuma coupled KdV system are obtained with the help of the algorithm Mathematica. These periodic solutions are also reduced to the bell-shaped solitary wave solutions and kink-shape solitary solutions. As special cases, we obtain new periodic solution, bell-shaped and kink-shaped solitary solutions to the well-known Hirota－Satsuma equations.
|
| 关 键 词： | periodic solution Hirota－Satsuma coupled KdV system Jacobi elliptic function |
| 收稿时间： | 2002-07-27 |
| 修稿时间： | 9/4/2002 12:00:00 AM |
| 本文献已被 维普 等数据库收录！ |
| 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 |
|
