| Kersten-Krasil’shchik耦合KdV-mKdV方程的达布-贝克隆变换 |
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| 引用本文： | 高,鹏 薛玲玲.Kersten-Krasil’shchik耦合KdV-mKdV方程的达布-贝克隆变换[J].宁波大学学报(理工版),2021,0(3):30-34. |
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| 作者姓名： | 高 鹏 薛玲玲 |
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| 作者单位： | 宁波大学 数学与统计学院, 浙江 宁波 315211 |
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| 摘 要： | 从矩阵形式的线性系统出发, 构造了Kersten-Krasil’shchik耦合KdV-mKdV方程的达布变换和相应的贝克隆变换, 并由一对达布-贝克隆变换的相容性得到了非线性叠加公式.
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| 关 键 词： | Kersten-Krasil’shchik耦合KdV-mKdV方程 达布变换 贝克隆变换 非线性叠加公式 |
Darboux-B?cklund transformation for the Kersten-Krasil’shchik coupled KdV-mKdV system |
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| GAO Peng,XUE Lingling.Darboux-B?cklund transformation for the Kersten-Krasil’shchik coupled KdV-mKdV system[J].Journal of Ningbo University(Natural Science and Engineering Edition),2021,0(3):30-34. |
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| Authors: | GAO Peng XUE Lingling |
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| Affiliation: | School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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| Abstract: | Starting from the matrix linear system, a Darboux transformation and the related B?cklund transformation for the Kersten-Krasil’shchik coupled KdV-mKdV system are conducted. Based on the compatibility of a pair of Darboux-B?cklund transformations, a nonlinear superposition formula is also obtained. |
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| Keywords: | Kersten-Krasil’shchik coupled KdV-mKdV system Darboux transformation B?cklund transfor- mation nonlinear superposition formula |
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