Kersten-Krasil’shchik耦合KdV-mKdV方程的达布-贝克隆变换
PDF下载 (1850)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),2021,34(3):30-34.DOI:
GAO Peng,XUE Lingling.Darboux-B?cklund transformation for the Kersten-Krasil’shchik coupled KdV-mKdV system[J].Journal of Ningbo University(Natural Science & Engineering Edition),2021,34(3):30-34.DOI:
| Title: | Darboux-B?cklund transformation for the Kersten-Krasil’shchik coupled KdV-mKdV system |
| 作者: | 高 鹏, 薛玲玲 |
| Author(s): | GAO Peng, XUE Lingling |
| 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; Kersten-Krasil’shchik coupled KdV-mKdV system |
| Keywords: | Darboux transformation; B?cklund transfor- mation; nonlinear superposition formula |
| 分类号: | O175 |
| 文献标识码: | A |
| 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. |
| 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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| 备注/Memo: | 收稿日期:2021-01-20.宁波大学学报（理工版）网址:http://journallg.nbu.edu.cn/ 基金项目:国家自然科学基金（11501312）;宁波大学王宽诚幸福基金. 第一作者:高鹏（1996－）,男,江苏南通人,在读硕士研究生,主要研究方向:孤立子理论与可积系统.E-mail:593885947@qq.com *通信作者:薛玲玲（1986－）,女,浙江宁波人,副教授,主要研究方向:孤立子理论与可积系统.E-mail:xuelingling@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
