Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method
General Mathematics
2026-04-16 v1
Abstract
Four coframes of invariant 1-forms are explicitly constructed using the Inductive Cartan equivalence method with rank zero corresponding to four distinct branches. These coframes are employed to characterize non-linearizable fourth-order ODEs under point transformation with a five-point symmetry Lie subalgebra. Moreover, we propose a procedure for obtaining the point transformation by using the derived invariant coframes, demonstrated through examples.
Keywords
Cite
@article{arxiv.2604.13138,
title = {Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method},
author = {Sondos R. Khalil and Ahmad Y. Al-Dweik and Marwan Aloqeili and F. M. Mahomed},
journal= {arXiv preprint arXiv:2604.13138},
year = {2026}
}