Some Results on Equivalence Groups
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a subgroup of the other type, and a case where the two groups are isomorphic is exhibited.
A result on the determination of the finite transformations of the infinitesimal generator of the larger group, which is useful for the determination of the invariant functions of the differential equation, is also given.
In addition, the Levidecomposition of the Lie algebra associated with the larger group is found; the Levi factor of which is shown to be equal, up to a constant factor, to the Lie algebra associated with the smaller group.
American Psychological Association (APA)
Ndogmo, J. C.. 2012. Some Results on Equivalence Groups. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993298
Modern Language Association (MLA)
Ndogmo, J. C.. Some Results on Equivalence Groups. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993298
American Medical Association (AMA)
Ndogmo, J. C.. Some Results on Equivalence Groups. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993298
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993298