Fermionic covariant prolongation structure theory for supernonlinear evolution equation

doi:10.1063/1.3474917

CSpace

	Fermionic covariant prolongation structure theory for supernonlinear evolution equation
	Cheng, Ji-Peng 1,2; Wang, Shi-Kun 3,4; Wu, Ke 1,4; Zhao, Wei-Zhong 1,5
	2010-09-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	51 期号:9 页码:14
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]
关键词	geometry nonlinear equations Schrodinger equation supersymmetric quantum mechanics supersymmetry
DOI	10.1063/1.3474917
语种	英语
资助项目	NKBRPC[2006CB805905] ; NSF[10975102] ; NSF[10871135]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000282433200034
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10657
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.