Kac-Moody-Virasoro可积系统
PDF下载 (300)赵启亮,贾 曼,楼森岳.Kac-Moody-Virasoro可积系统[J].宁波大学学报(理工版),2020,33(5):83-92.DOI:
ZHAO Qiliang,JIA Man,LOU Senyue.Kac-Moody-Virasoro integrable system[J].Journal of Ningbo University(Natural Science & Engineering Edition),2020,33(5):83-92.DOI:
| Title: | Kac-Moody-Virasoro integrable system |
| 作者: | 赵启亮, 贾 曼, 楼森岳 |
| Author(s): | ZHAO Qiliang, JIA Man, LOU Senyue |
| 关键词: | 李群; 李代数; Kac-Moody-Virasoro代数; KP方程组; CK直接法; 可积性 |
| Keywords: | Lie group of symmetries; Lie algebra; Kac-Moody-Virasoro algebra; KP equtions; CK direct method; integrability |
| 分类号: | O415 |
| 文献标识码: | A |
| 摘要: | 通过研究Kadomtsev-Petviashvilli(KP)方程对称, 得到相应的无穷维李代数—–Kac-Moody- Virasoro(KMV)代数, 并运用KMV代数的生成元和其中一个子代数—–Virasoro代数的延拓结构, 推导出熟知的Kadomtsev-Petviashvilli(KP)方程, 并以此为基础得到更多高阶(2+1)维和(3+1)维的可积模型, 并且这些模型都具有KMV代数性质. |
| Abstract: | By studying the symmetry of Kadomtse-Petviashvilli (KP) equation, we obtain the infinite- dimensional Lie algebra of symmetries, which is termed as Kac-Moody-Virasoro (KMV) algebra. Using generators of KMV algebra and the prolongation of Virasoro algebra, the Kadomtse-Petviashvilli (KP) equation is obtained. In addition, the other higher order (2+1)-dimensional and (3+1)-dimensional integrable model can thus be derived from KP equation. It is worth noting that all the models possess the same properties of KMV algebra. |
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| 备注/Memo: | 收稿日期: 2020－05－11. 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（11975131, 11675084）; 宁波市自然科学基金（2015A610159）; 宁波大学王宽诚幸福基金. 第一作者: 赵启亮（1994－）, 男, 山西阳泉人, 在读硕士研究生, 主要研究方向: 非线性物理. E-mail: qlzhao233@qq.com *通信作者: 楼森岳（1957－）, 男, 浙江宁波人, 教授, 主要研究方向: 非线性物理. E-mail: lousenyue@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
