Symmetry Classification of First Integrals for Scalar Linearizable Second-Order ODEs
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Symmetries of the fundamental first integrals for scalar second-order ordinary differential equations (ODEs) which are linear or linearizable by point transformations have already been obtained.
Firstly we show how one can determine the relationship between the symmetries and the first integrals of linear or linearizable scalar ODEs of order two.
Secondly, a complete classification of point symmetries of first integrals of such linear ODEs is studied.
As a consequence, we provide a counting theorem for the point symmetries of first integrals of scalar linearizable second-order ODEs.
We show that there exists the 0-, 1-, 2-, or 3-point symmetry cases.
It is shown that the maximal algebra case is unique.
American Psychological Association (APA)
Mahomed, K. S.& Momoniat, E.. 2012. Symmetry Classification of First Integrals for Scalar Linearizable Second-Order ODEs. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029024
Modern Language Association (MLA)
Mahomed, K. S.& Momoniat, E.. Symmetry Classification of First Integrals for Scalar Linearizable Second-Order ODEs. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1029024
American Medical Association (AMA)
Mahomed, K. S.& Momoniat, E.. Symmetry Classification of First Integrals for Scalar Linearizable Second-Order ODEs. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029024
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029024