Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
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dc.contributor.author	Marciniak, K.
dc.contributor.author	Błaszak, M.
dc.date.accessioned	2019-02-18T18:49:26Z
dc.date.available	2019-02-18T18:49:26Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 70H06; 70H20; 35F50; 53B20
dc.identifier.other	DOI:10.3842/SIGMA.2017.077
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148772
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA