DIVERGENCE-FREE VECTOR-FIELD AND REDUCTION

Citation
Db. Huang et al., DIVERGENCE-FREE VECTOR-FIELD AND REDUCTION, Physics letters. A, 244(5), 1998, pp. 377-382
Citations number
8
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
ISSN journal
0375-9601
Volume
244
Issue
5
Year of publication
1998
Pages
377 - 382
Database
ISI
SICI code
0375-9601(1998)244:5<377:DVAR>2.0.ZU;2-6
Abstract
By the Lie symmetry group, the reduction for divergence-free vector-fi elds (DFVs) is studied, and the following results are found. A n-dimen sional DFV can be locally reduced to a (n - 1)-dimensional DFV if it a dmits a one-parameter symmetry group that is spatial and divergenceles s. More generally, a n-dimensional DFV admitting a r-parameter, spatia l, divergenceless Abelian (commutable) symmetry group can be locally r educed to a (n - r)-dimensional DFV. (C) 1998 Elsevier Science B.V.