Hidden and Not So Hidden Symmetries
Joint Authors
Govinder, Keshlan S.
Leach, P. G. L.
Andriopoulos, K.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Hidden symmetries entered the literature in the late Eighties when it was observed that there could be gain of Lie point symmetry in the reduction of order of an ordinary differential equation.
Subsequently the reverse process was also observed.
Such symmetries were termed “hidden”.
In each case the source of the “new” symmetry was a contact symmetry or a nonlocal symmetry, that is, a symmetry with one or more of the coefficient functions containing an integral.
Recent work by Abraham-Shrauner and Govinder (2006) on the reduction of partial differential equations demonstrates that it is possible for these “hidden” symmetries to have a point origin.
In this paper we show that the same phenomenon can be observed in the reduction of ordinary differential equations and in a sense loosen the interpretation of hidden symmetries.
American Psychological Association (APA)
Leach, P. G. L.& Govinder, Keshlan S.& Andriopoulos, K.. 2012. Hidden and Not So Hidden Symmetries. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1029038
Modern Language Association (MLA)
Leach, P. G. L.…[et al.]. Hidden and Not So Hidden Symmetries. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-1029038
American Medical Association (AMA)
Leach, P. G. L.& Govinder, Keshlan S.& Andriopoulos, K.. Hidden and Not So Hidden Symmetries. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1029038
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029038