## 留言板

 引用本文: 刘萍. 广义耦合KdV孤子方程的达布变换及其奇孤子解[J]. 应用数学和力学, 2008, 29(3): 361-368.
LIU Ping. Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions[J]. Applied Mathematics and Mechanics, 2008, 29(3): 361-368.
 Citation: LIU Ping. Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions[J]. Applied Mathematics and Mechanics, 2008, 29(3): 361-368.

## 广义耦合KdV孤子方程的达布变换及其奇孤子解

###### 作者简介:刘萍(1972- ),女,河南商丘人,讲师,硕士(E-mail:liupingz11@tom.com).
• 中图分类号: O175.29

## Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions

• 摘要: 借助谱问题的规范变换, 给出广义耦合KdV孤子方程的达布变换,利用达布变换来产生广义耦合KdV孤子方程的奇孤子解,并且用行列式的形式来表达广义耦合KdV孤子方程的奇孤子解．作为应用,广义耦合KdV孤子方程奇孤子解的前两个例子被给出．
•  [1] LI Xue-mei,GENG Xian-guo.Lax matrix and a generalized coupled KdV hierarchy[J].Phys A,2003,327:357-370. [2] 刘萍,张荣.广义耦合KdV孤子方程的达布变换及其精确解[J].洛阳师范学院学报,2005,24(5):1-5. [3] Li Y S, Ma W X, Zhang J E.Darboux transformation of classical Boussinesq system and its new solutions[J].Phys Lett A,2000,275:60-66. [4] Li Y S, Zhang J E.Darboux transformation of classical Boussinesq system and its multi-solition solutions[J].Phys Lett A,2001,284:253-258. [5] FAN En-gui.Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation[J].Phys A:Math Gen,2000,33:6925-6933. [6] 张金顺,李华夏.2+1维Levi孤子方程的Darboux变换[J].郑州大学学报(自然科学版),2001,33(3):13-17. [7] 刘萍.Broer-Kaup系统的达布变换及其孤子解[J].数学物理学报,2006,26A(7):999-1007. [8] LIU Ping,ZHANG Jin-hun.Darboux transformation of Broer-Kaup system and its odd-soliton solutions[J].西南师范大学学报(自然科学版),2006,31(5):31-36. [9] Geng X G, Tam H W.Darboux transformation and soliton solutions for generalized nonlinear Schrdinger equation[J].Phys Soc Jpn,1999,68(5):1508-1512.
##### 计量
• 文章访问数:  3035
• HTML全文浏览量:  150
• PDF下载量:  705
• 被引次数: 0
##### 出版历程
• 收稿日期:  2007-09-28
• 修回日期:  2008-01-16
• 刊出日期:  2008-03-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈