Fermionic covariant prolongation structure theory for supernonlinear evolution equation
文献类型：期刊论文
| 作者 | Cheng, Ji-Peng1,2; Wang, Shi-Kun3,4; Wu, Ke1,4; Zhao, Wei-Zhong1,5 |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2010-09-01 |
| 卷号 | 51期号:9页码:14 |
| ISSN号 | 0022-2488 |
| 关键词 | geometry nonlinear equations Schrodinger equation supersymmetric quantum mechanics supersymmetry |
| DOI | 10.1063/1.3474917 |
| 英文摘要 | We investigate the superprincipal bundle and its associated superbundle. The super(nonlinear)connection on the superfiber bundle is constructed. Then by means of the connection theory, we establish the fermionic covariant prolongation structure theory of the supernonlinear evolution equation. In this geometry theory, the fermionic covariant fundamental equations determining the prolongation structure are presented. As an example, the supernonlinear Schroumldinger equation is analyzed in the framework of this fermionic covariant prolongation structure theory. We obtain its Lax pairs and Baumlcklund transformation. (C) 2010 American Institute of Physics. [doi:10.1063/1.3474917] |
| 资助项目 | NKBRPC[2006CB805905] ; NSF[10975102] ; NSF[10871135] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| 出版者 | AMER INST PHYSICS |
| WOS记录号 | WOS:000282433200034 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10656]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Wei-Zhong |
| 作者单位 | 1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China 3.Henan Univ, Coll Math & Informat Sci, Kaifeng 475004, Peoples R China 4.Chinese Acad Sci, AMSS, KLMM, Beijing 100080, Peoples R China 5.Capital Normal Univ, Inst Math & Interdisciplinary Sci, Beijing 100048, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Ji-Peng,Wang, Shi-Kun,Wu, Ke,et al. Fermionic covariant prolongation structure theory for supernonlinear evolution equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2010,51(9):14. |
| APA | Cheng, Ji-Peng,Wang, Shi-Kun,Wu, Ke,&Zhao, Wei-Zhong.(2010).Fermionic covariant prolongation structure theory for supernonlinear evolution equation.JOURNAL OF MATHEMATICAL PHYSICS,51(9),14. |
| MLA | Cheng, Ji-Peng,et al."Fermionic covariant prolongation structure theory for supernonlinear evolution equation".JOURNAL OF MATHEMATICAL PHYSICS 51.9(2010):14. |
入库方式： OAI收割
来源：数学与系统科学研究院
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