Third order ordinary differential equations admitting a transitive symmetry group of fiber-preserving point transformations are completely characterized. We give the general expressions of these equations, as well as the canonical equations representing the equivalence classes. The symmetry groups a
On Ordinary Differential Equations Admitting a Finite Linear Group of Symmetries
โ Scribed by Michael K Kinyon; Sebastian Walcher
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 250 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0022-247X
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## Abstract After the initial seminal works of Sophus Lie on ordinary differential equations, several important results on point symmetry group analysis of ordinary differential equations have been obtained. In this review, we present the salient features of point symmetry group classification of s
The concept of the complete symmetry group of a differential equation introduced by J. Krause (1994, J. Math. Phys. 35, 5734-5748) is extended to integrals of such equations. This paper is devoted to some aspects characterising complete symmetry groups. The algebras of the symmetries of both differe