Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913034640818176 |
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| author | Khalil, Sondos R. Al-Dweik, Ahmad Y. Aloqeili, Marwan Mahomed, F. M. |
| author_facet | Khalil, Sondos R. Al-Dweik, Ahmad Y. Aloqeili, Marwan Mahomed, F. M. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_13138 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method Khalil, Sondos R. Al-Dweik, Ahmad Y. Aloqeili, Marwan Mahomed, F. M. General Mathematics 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. |
| title | Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2604.13138 |