广义耦合KdV孤子方程的达布变换及其偶孤子解 |
| |
引用本文: | 刘萍. 广义耦合KdV孤子方程的达布变换及其偶孤子解[J]. 数学物理学报(A辑), 2009, 29(5): 1213-1222 |
| |
作者姓名: | 刘萍 |
| |
作者单位: | 西南大学数学与统计学院应用数学系,四川重庆,400715 |
| |
基金项目: | 西南大学学校青年基金 |
| |
摘 要: | 根据广义耦合KdV孤子方程的Lax对, 借助谱问题的规范变换, 一个包含多参数的达布变换被构造出来. 利用达布变换来产生广义耦合KdV孤子方程的偶孤子解, 并且用行列式的形式来表达广义耦合KdV孤子方程的偶孤子解. 作为应用, 广义耦合KdV孤子方程的偶孤子解的前两个例子被给出.
|
关 键 词: | 达布变换 孤子方程 偶孤子解 规范变换 |
收稿时间: | 2007-11-08 |
修稿时间: | 2008-10-09 |
Darboux Transformation of Generalized Coupled KdV Soliton Equation and its Even-soliton Solutions |
| |
Affiliation: | Department of Applied Mathematics, School of Mathematics and Statistics, Southwest University, Sichuan Chongqing 400715 |
| |
Abstract: | Based on the resulting Lax pairs of the generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for the generalized coupled KdV soliton equation is derived with the help of a gauge transformation of the spectral problem. By using the Darboux transformation, the generalized even-soliton solutions of the generalized coupled KdV soliton equation are given and presented in determinant form. As an application, the first two cases are given. |
| |
Keywords: | Darboux transformationzz Soliton equationzz Even-soliton solutionzz Gauge transformationzz |
本文献已被 万方数据 等数据库收录! |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
|
点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |