Integrability structures of the $(2+1)$-dimensional Euler equation
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915251133349888 |
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| author | Krasil'shchik, I. S. Morozov, O. I. |
| author_facet | Krasil'shchik, I. S. Morozov, O. I. |
| contents | We construct local and nonlocal Hamiltonian structures and variational symplectic structures for the $(2+1)$-dimensional Euler equation in the vorticity form and study the action of the local Hamiltonian and symplectic structures on the cosymmetries of second order and the contact symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10475 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integrability structures of the $(2+1)$-dimensional Euler equation Krasil'shchik, I. S. Morozov, O. I. Exactly Solvable and Integrable Systems We construct local and nonlocal Hamiltonian structures and variational symplectic structures for the $(2+1)$-dimensional Euler equation in the vorticity form and study the action of the local Hamiltonian and symplectic structures on the cosymmetries of second order and the contact symmetries. |
| title | Integrability structures of the $(2+1)$-dimensional Euler equation |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2501.10475 |