Equivalence Problem for Non-Linearizable Third-Order ODEs with Four-Dimensional Lie Symmetry Subalgebras under Point Transformations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917274376470528 |
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| author | Abuloha, Omar A. Aloqeili, Marwan Al-Dweik, Ahmad Y. Mahomed, F. M. |
| author_facet | Abuloha, Omar A. Aloqeili, Marwan Al-Dweik, Ahmad Y. Mahomed, F. M. |
| contents | Cartan's equivalence method is applied to explicitly construct invariant coframes for four branches, which are used to characterize all non-linearizable third-order ODEs with a four-dimensional Lie symmetry subalgebra under point transformations. Additionally, we present a method for constructing the point transformations based on the derived invariant coframes. Examples are provided to illustrate our approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13317 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Equivalence Problem for Non-Linearizable Third-Order ODEs with Four-Dimensional Lie Symmetry Subalgebras under Point Transformations Abuloha, Omar A. Aloqeili, Marwan Al-Dweik, Ahmad Y. Mahomed, F. M. General Mathematics Cartan's equivalence method is applied to explicitly construct invariant coframes for four branches, which are used to characterize all non-linearizable third-order ODEs with a four-dimensional Lie symmetry subalgebra under point transformations. Additionally, we present a method for constructing the point transformations based on the derived invariant coframes. Examples are provided to illustrate our approach. |
| title | Equivalence Problem for Non-Linearizable Third-Order ODEs with Four-Dimensional Lie Symmetry Subalgebras under Point Transformations |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2602.13317 |