The vector fields admitting one-parameter spatial symmetry group and their reduction

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	The vector fields admitting one-parameter spatial symmetry group and their reduction
	Huang DB(黄德斌); Zhao XH(赵晓华); Huang, DB (reprint author), Acad Sinica, Inst Mech, LNM, Beijing 100080, Peoples R China.
发表期刊	Applied Mathematics and Mechanics (English Edition)
	2000
卷号	21 期号:2 页码:173-180
ISSN	0253-4827
摘要	For a n-dimensional vector fields preserving some n-form, the following conclusion is reached by the method of Lie group. That is, if it admits an one-parameter, n-form preserving symmetry group, a transformation independent of the vector field is constructed explicitly, which can reduce not only dimesion of the vector field by one, but also make the reduced vector field preserve the corresponding ( n - 1)-form. In partic ular, while n = 3, an important result can be directly got which is given by Me,ie and Wiggins in 1994.
关键词	Vector Field Symmtry Group Lie Group Reduction Preserving N-form
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000087387100006
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/33651
专题	力学所知识产出(1956-2008)
通讯作者	Huang, DB (reprint author), Acad Sinica, Inst Mech, LNM, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Huang DB,Zhao XH,Huang, DB . The vector fields admitting one-parameter spatial symmetry group and their reduction[J]. Applied Mathematics and Mechanics (English Edition),2000,21,2,:173-180.
APA	黄德斌,赵晓华,&Huang, DB .(2000).The vector fields admitting one-parameter spatial symmetry group and their reduction.Applied Mathematics and Mechanics (English Edition),21(2),173-180.
MLA	黄德斌,et al."The vector fields admitting one-parameter spatial symmetry group and their reduction".Applied Mathematics and Mechanics (English Edition) 21.2(2000):173-180.

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