Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
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| Creator |
Marciniak, K.
Błaszak, M. |
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| 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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| Date |
2019-02-18T18:49:26Z
2019-02-18T18:49:26Z 2017 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/148772 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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