耦合MRT方程的三哈密顿对偶系统
PDF下载 (195)胡碧圆,曹陈辰.耦合MRT方程的三哈密顿对偶系统[J].宁波大学学报(理工版),2024,37(1):31-37.DOI:10.20098/j.cnki.1001-5132.2023.0701
HU Biyuan,CAO Chenchen.Tri-Hamiltonian duality system of coupling Merola-Ragnisco-Tu equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2024,37(1):31-37.DOI:10.20098/j.cnki.1001-5132.2023.0701
| Title: | Tri-Hamiltonian duality system of coupling Merola-Ragnisco-Tu equation |
| 作者: | 胡碧圆, 曹陈辰 |
| Author(s): | HU Biyuan, CAO Chenchen |
| 关键词: | 线性谱问题; 双哈密顿结构; Darboux-B?cklund变换; 精确解 |
| Keywords: | linear spectral problem; bi-Hamiltonian structure; Darboux-B?klund transformation; exact solution |
| 分类号: | O175.2 |
| DOI: | 10.20098/j.cnki.1001-5132.2023.0701 |
| 文献标识码: | A |
| 摘要: | 本文将三哈密顿方法应用于耦合Merola-Ragnisco-Tu方程, 获得了新的离散可积系统, 并求出了它的线性谱问题、双哈密顿结构以及Darboux-B?cklund变换. 进一步, 利用Darboux- B?cklund变换求出了对偶系统的精确解. |
| Abstract: | Applying the tri-Hamiltonian method to the coupled Merola-Ragnisco-Tu equation, a new discrete integral system is obtained, and its linear spectral problem, bi-Hamiltonian structure, and Darboux-B?klund transformation are solved. Furthermore, using the Darboux-B?klund transformation, the exact solution of the dual system can be sought. |
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| 备注/Memo: | 收稿日期: 2023－07－04. 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（12101339）. 第一作者: 胡碧圆, 硕士研究生, 主要研究方向: 可积系统. E-mail: 2273826965@qq.com *通信作者: 曹陈辰, 博士, 主要研究方向: 群论. E-mail: caochenchen@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
