Quasilinear differential constraints for parabolic systems of Jordan-block type
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917641078177792 |
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| author | Rizzo, Alessandra Vergallo, Pierandrea |
| author_facet | Rizzo, Alessandra Vergallo, Pierandrea |
| contents | We prove that linear degeneracy is a necessary conditions for systems in Jordan-block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2x2 systems and turns out to be equivalent to possess the Hamiltonian property. Some explicit solutions of parabolic systems are herein given: two principal hierarchies arising from the associativity theory and the delta-functional reduction of the El's equation in the hard rod case are integrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10101 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasilinear differential constraints for parabolic systems of Jordan-block type Rizzo, Alessandra Vergallo, Pierandrea Mathematical Physics Exactly Solvable and Integrable Systems We prove that linear degeneracy is a necessary conditions for systems in Jordan-block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2x2 systems and turns out to be equivalent to possess the Hamiltonian property. Some explicit solutions of parabolic systems are herein given: two principal hierarchies arising from the associativity theory and the delta-functional reduction of the El's equation in the hard rod case are integrated. |
| title | Quasilinear differential constraints for parabolic systems of Jordan-block type |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2404.10101 |