Article
On computing linearizing coordinates from the symmetry algebra
Journal of Lie Theory
Document Type
Article
Publication Date
1-1-2021
Abstract
A characterization of the symmetry algebra of the N th-order ordinary differential equations (ODEs) with maximal symmetry and all third-order linearizable ODEs is given. This is used to show that such an algebra g determines - up to a point transformation - only one linear equation whose symmetry algebra is g and an algorithmic procedure is given to find the linearizing coordinates. This procedure is applied to several examples from the literature.
Disciplines
Keywords
- Lie algebras,
- Linearization,
- Ordinary differential equations,
- Vector fields
Scopus ID
Indexed in Scopus
Yes
Open Access
No
https://www.heldermann.de/JLT/JLT31/JLT313/jlt31034.htm
Citation Information
Sajid Ali, Hassan Azad, Said Waqas Shah and Fazal M. Mahomed. "On computing linearizing coordinates from the symmetry algebra" Journal of Lie Theory Vol. 31 Iss. 3 (2021) p. 625 - 635 ISSN: <p><a href="https://v2.sherpa.ac.uk/id/publication/issn/0949-5932" target="_blank">0949-5932</a></p> Available at: http://works.bepress.com/sajid-ali/3/