A Class of New Lie Algebra, the Corresponding g-mKdV Hierarchy and Its Hamiltonian Structure
文献类型：期刊论文
| 作者 | Yang, Hong Wei2; Yin, Bao Shu1,3; Fang, Yong2 |
| 刊名 | INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 50期号:3页码:671-681 |
| 关键词 | G-mkdv Hierarchy Hamiltonian Structure Lie Algebra |
| ISSN号 | 0020-7748 |
| DOI | 10.1007/s10773-010-0597-6 |
| 文献子类 | Article |
| 英文摘要 | A class of new Lie algebra B(3) is constructed, which is far different from the known Lie algebra A(n-1). Based on the corresponding loop algebra (B) over bar (3), the generalized mKdV hierarchy is established. In order to look for the Hamiltonian structure of such integrable system, a generalized trace functional of matrices is introduced, whose special case is just the well-known trace identity. Finally, its expanding integrable model is worked out by use of an enlarged Lie algebra.; A class of new Lie algebra B(3) is constructed, which is far different from the known Lie algebra A(n-1). Based on the corresponding loop algebra (B) over bar (3), the generalized mKdV hierarchy is established. In order to look for the Hamiltonian structure of such integrable system, a generalized trace functional of matrices is introduced, whose special case is just the well-known trace identity. Finally, its expanding integrable model is worked out by use of an enlarged Lie algebra. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| 语种 | 英语 |
| WOS记录号 | WOS:000286470900006 |
| 公开日期 | 2012-07-03 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/11550]  |
| 专题 | 海洋研究所_海洋环流与波动重点实验室 |
| 作者单位 | 1.China Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Shandong Univ Sci & Technol, Informat Sch, Qingdao 266510, Peoples R China 3.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Hong Wei,Yin, Bao Shu,Fang, Yong. A Class of New Lie Algebra, the Corresponding g-mKdV Hierarchy and Its Hamiltonian Structure[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2011,50(3):671-681. |
| APA | Yang, Hong Wei,Yin, Bao Shu,&Fang, Yong.(2011).A Class of New Lie Algebra, the Corresponding g-mKdV Hierarchy and Its Hamiltonian Structure.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,50(3),671-681. |
| MLA | Yang, Hong Wei,et al."A Class of New Lie Algebra, the Corresponding g-mKdV Hierarchy and Its Hamiltonian Structure".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 50.3(2011):671-681. |
入库方式： OAI收割
来源：海洋研究所
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