| 广义耦合KdV孤子方程的达布变换及其偶孤子解 |
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| 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. |
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| 作者姓名： | 刘萍 |
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| 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 |
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| 基金项目： | 西南大学学校青年基金 |
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| 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.
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| 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 |
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| Institution: | Department of Applied Mathematics, School of Mathematics and Statistics, Southwest University, Sichuan Chongqing 400715 |
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| 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. |
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| Keywords: | Darboux transformationzz Soliton equationzz Even-soliton solutionzz Gauge transformationzz |
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