Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915989880307712 |
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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 | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06704 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations Abuloha, Omar A. Aloqeili, Marwan Al-Dweik, Ahmad Y. Mahomed, F. M. General Mathematics 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. |
| title | Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2605.06704 |