Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
In this paper we present a novel construction of non-homogeneous hydrodynamic equations from what we call quasi-Stäckel systems, that is non-commutatively integrable systems constructed from appropriate maximally superintegrable Stäckel systems. We describe the relations between Poisson algebras gen...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2017 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148772 |
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| Cite this: | Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians / K. Marciniak, M. Błaszak // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Marciniak, K. Błaszak, M. 2019-02-18T18:49:26Z 2019-02-18T18:49:26Z 2017 Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians / K. Marciniak, M. Błaszak // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70H06; 70H20; 35F50; 53B20 DOI:10.3842/SIGMA.2017.077 https://nasplib.isofts.kiev.ua/handle/123456789/148772 In this paper we present a novel construction of non-homogeneous hydrodynamic equations from what we call quasi-Stäckel systems, that is non-commutatively integrable systems constructed from appropriate maximally superintegrable Stäckel systems. We describe the relations between Poisson algebras generated by quasi-Stäckel Hamiltonians and the corresponding Lie algebras of vector fields of non-homogeneous hydrodynamic systems. We also apply Stäckel transform to obtain new non-homogeneous equations of considered type. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians |
| spellingShingle |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians Marciniak, K. Błaszak, M. |
| title_short |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians |
| title_full |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians |
| title_fullStr |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians |
| title_full_unstemmed |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians |
| title_sort |
non-homogeneous hydrodynamic systems and quasi-stäckel hamiltonians |
| author |
Marciniak, K. Błaszak, M. |
| author_facet |
Marciniak, K. Błaszak, M. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
In this paper we present a novel construction of non-homogeneous hydrodynamic equations from what we call quasi-Stäckel systems, that is non-commutatively integrable systems constructed from appropriate maximally superintegrable Stäckel systems. We describe the relations between Poisson algebras generated by quasi-Stäckel Hamiltonians and the corresponding Lie algebras of vector fields of non-homogeneous hydrodynamic systems. We also apply Stäckel transform to obtain new non-homogeneous equations of considered type.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148772 |
| citation_txt |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians / K. Marciniak, M. Błaszak // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. |
| work_keys_str_mv |
AT marciniakk nonhomogeneoushydrodynamicsystemsandquasistackelhamiltonians AT błaszakm nonhomogeneoushydrodynamicsystemsandquasistackelhamiltonians |
| first_indexed |
2025-12-07T21:03:37Z |
| last_indexed |
2025-12-07T21:03:37Z |
| _version_ |
1850884926953488384 |