|
|||||
|
|
| Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg-de Vries Model from Plasmas and Fluid Dynamics | |
| 引用本文： | 张春义 姚振智 朱宏武 许韬 李娟 孟祥花 高以天. Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg-de Vries Model from Plasmas and Fluid Dynamics[J]. 中国物理快报, 2007, 24(5): 1173-1176 |
| 作者姓名： | 张春义 姚振智 朱宏武 许韬 李娟 孟祥花 高以天 |
| 作者单位： | [1]Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics （Ministry of Educ_ation）, Beijing University of Aeronautics and Astronautics, Beijing 100083 [2]Meteorology Center of Air Force Command Post, Changchun 130051 [3]School of Science, Beijing University of Posts Telecommunications, Beijing 100876 |
| 基金项目： | Supported by the Key Project of the Ministry of Education of China under Grant No 106033, and the National Natural Science Foundation of China under Grant Nos 60372095 and 10272017, the Green Path Programme of Air Force of the Chinese People＇s Liberation Army, the Cheung Kong Scholars Programme of the Ministry of Education of China, and Li Ka Shing Foundation of Hong Kong. |
| 摘 要： | Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Korteweg-de Vries （vcKdV） model is investigated. The bilinear form and analytic N-soliton-like solution for such a model are derived by the Hirota method and Wronskian technique. Additionally, the bilinear auto-Bǎcklund transformation between （N-1）- soliton-like and N-soliton-like solutions is verified. |
| 关 键 词： | 精确解析 孤立子解 广义变量系数 Vries模型 |
| 收稿时间： | 2006-12-29 |
| 修稿时间： | 2006-12-29 |
Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg--de Vries Model from Plasmas and Fluid Dynamics |
|
| ZHANG Chun-Yi,YAO Zhen-Zhi,ZHU Hong-Wu,XU Tao,LI Juan,MENG Xiang-Hua,GAO Yi-Tian. Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg--de Vries Model from Plasmas and Fluid Dynamics[J]. Chinese Physics Letters, 2007, 24(5): 1173-1176 | |
| Authors: | ZHANG Chun-Yi YAO Zhen-Zhi ZHU Hong-Wu XU Tao LI Juan MENG Xiang-Hua GAO Yi-Tian |
| Affiliation: | 1Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics (Ministry of Education |
| Abstract: | Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Korteweg--de Vries (vcKdV) model is investigated. The bilinear form and analytic N-soliton-like solution for such a model are derived by the Hirota method and Wronskian technique. Additionally, the bilinear auto-Backlund transformation between (N-1)-soliton-like and N-soliton-like solutions is verified. |
| Keywords: | 05.45.Yv 47.35.Fg 02.30.Ik 02.70.Wz |
| 本文献已被 维普 等数据库收录！ | |
| 点击此处可从《中国物理快报》浏览原始摘要信息 | |
| 点击此处可从《中国物理快报》下载免费的PDF全文 | |