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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148772 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862750124697976832 |
|---|---|
| author | Marciniak, K. Błaszak, M. |
| author_facet | Marciniak, K. Błaszak, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T21:03:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148772 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:03:37Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians Marciniak, K. Błaszak, M. |
| title | 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_short | Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians |
| title_sort | non-homogeneous hydrodynamic systems and quasi-stäckel hamiltonians |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148772 |
| work_keys_str_mv | AT marciniakk nonhomogeneoushydrodynamicsystemsandquasistackelhamiltonians AT błaszakm nonhomogeneoushydrodynamicsystemsandquasistackelhamiltonians |