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- Title
The vector fields admitting one-parameter spatial symmetry group and their reduction.
- Authors
Debin, Huang; Xiaohua, Zhao
- Abstract
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 explicity, 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 Mezie and Wiggins in 1994.
- Subjects
VECTOR fields; LIE groups; LIE algebras; SYMMETRY groups; MATHEMATICAL physics; HAMILTONIAN systems; MATHEMATICAL analysis; DIFFERENTIAL equations
- Publication
Applied Mathematics & Mechanics, 2000, Vol 21, Issue 2, p173
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/BF02458517