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arXiv · 2604.13138

Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method

Sondos R. Khalil·Ahmad Y. Al-Dweik·Marwan Aloqeili·F. M. Mahomed
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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.

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Sondos R. Khalil, Ahmad Y. Al-Dweik, Marwan Aloqeili, F. M. Mahomed. 2026-04-14. Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method. https://arxiv.org/abs/2604.13138

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