Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations
General Mathematics
2026-05-11 v1
Abstract
Using Cartan equivalence method, invariant coframes are constructed for two branches of rank one and zero, which characterize linearizable third-order ODEs under contact transformations with four- and five-dimensional Lie symmetry algebras, respectively. A procedure for deriving the corresponding contact transformations is also presented, along with illustrative examples.
Keywords
Cite
@article{arxiv.2605.06704,
title = {Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations},
author = {Omar A. Abuloha and Marwan Aloqeili and Ahmad Y. Al-Dweik and F. M. Mahomed},
journal= {arXiv preprint arXiv:2605.06704},
year = {2026}
}