Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913494894379008 |
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| author | Hu, Xin Casati, Matteo |
| author_facet | Hu, Xin Casati, Matteo |
| contents | In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the conditions is related to the Poisson cohomology of the admissible Hamiltonian operators. We present in detail the examples of two-dimensional, two-components systems of hydrodynamic type and of a real reduction of the 3-waves system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10445 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure Hu, Xin Casati, Matteo Exactly Solvable and Integrable Systems Mathematical Physics 37K10, 37K25 In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the conditions is related to the Poisson cohomology of the admissible Hamiltonian operators. We present in detail the examples of two-dimensional, two-components systems of hydrodynamic type and of a real reduction of the 3-waves system. |
| title | Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics 37K10, 37K25 |
| url | https://arxiv.org/abs/2401.10445 |