On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915001173803008 |
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| author | Opanasenko, Stanislav Popovych, Roman O. |
| author_facet | Opanasenko, Stanislav Popovych, Roman O. |
| contents | Nonlocal Hamiltonian operators of Ferapontov type are well-known objects that naturally arise local from Hamiltonian operators of Dubrovin-Novikov type with the help of three constructions, Dirac reduction, recursion scheme and reciprocal transformation. We provide an additional construction, namely the prolongation of a local hydrodynamic-type Hamiltonian operator of a subsystem to its nonlocal counterpart for the entire system. We exemplify this construction by a system governing an isothermal no-slip drift flux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one Opanasenko, Stanislav Popovych, Roman O. Mathematical Physics Exactly Solvable and Integrable Systems 37K05 Nonlocal Hamiltonian operators of Ferapontov type are well-known objects that naturally arise local from Hamiltonian operators of Dubrovin-Novikov type with the help of three constructions, Dirac reduction, recursion scheme and reciprocal transformation. We provide an additional construction, namely the prolongation of a local hydrodynamic-type Hamiltonian operator of a subsystem to its nonlocal counterpart for the entire system. We exemplify this construction by a system governing an isothermal no-slip drift flux. |
| title | On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems 37K05 |
| url | https://arxiv.org/abs/2410.09669 |