Supersymmetric reciprocal transformation and its applications

doi:10.1063/1.3481568

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	Supersymmetric reciprocal transformation and its applications
	Liu, Q. P.1; Popowicz, Ziemowit 2; Tian, Kai 3
	2010-09-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	51 期号:9 页码:24
摘要	The supersymmetric analog of the reciprocal transformation is introduced. This is used to establish a transformation between one of the supersymmetric Harry Dym equations and the supersymmetric modified Korteweg-de Vries equation. The reciprocal transformation, as a B cklund-type transformation between these two equations, is adopted to construct a recursion operator for the supersymmetric Harry Dym equation. By proper factorization of the recursion operator, a bi-Hamiltonian structure is found for the supersymmetric Harry Dym equation. Furthermore, a supersymmetric Kawamoto equation is proposed and is associated with the supersymmetric Sawada-Kotera equation. The recursion operator and odd bi-Hamiltonian structure of the supersymmetric Kawamoto equation are also constructed. (C) 2010 American Institute of Physics. [doi:10.1063/1.3481568]
DOI	10.1063/1.3481568
语种	英语
资助项目	National Natural Science Foundation of China[10731080] ; National Natural Science Foundation of China[10971222]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000282433200044
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/10351
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Q. P.
作者单位	1.China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China 2.Univ Wroclaw, Inst Theoret Phys, PL-50205 Wroclaw, Poland 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Q. P.,Popowicz, Ziemowit,Tian, Kai. Supersymmetric reciprocal transformation and its applications[J]. JOURNAL OF MATHEMATICAL PHYSICS,2010,51(9):24.
APA	Liu, Q. P.,Popowicz, Ziemowit,&Tian, Kai.(2010).Supersymmetric reciprocal transformation and its applications.JOURNAL OF MATHEMATICAL PHYSICS,51(9),24.
MLA	Liu, Q. P.,et al."Supersymmetric reciprocal transformation and its applications".JOURNAL OF MATHEMATICAL PHYSICS 51.9(2010):24.