Algebraic Structures of Generalised Symmetries of n th-order Scalar Ordinary Differential Equations of Maximal Lie Point Symmetry

Authors

K. Charalambous, Department of Mathematics and Statistics, University of Cyprus, Lefkosia 1678, CyprusFollow
PGL Leach, Department of Mathematics and Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban 4000, Republic of South AfricaFollow

Author Country (or Countries)

Republic of South Africa

Abstract

We compute for the representative scalar ordinary differential equation of maximal point symmetry the generalised symmetries of order-one and two. We examine the Lie Brackets for the generalised symmetries and see that closure does not occur for generalised symmetries of order-two. Consequently all generalised symmetries up to the maximum order possible must be admitted.

Recommended Citation

Charalambous, K. and Leach, PGL (2015) "Algebraic Structures of Generalised Symmetries of n th-order Scalar Ordinary Differential Equations of Maximal Lie Point Symmetry," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 9.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/9