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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 077, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.077 (Mi sigma1277) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians

Krzysztof Marciniaka, Maciej Błaszakb

a Department of Science and Technology, Campus Norrköping, Linköping University, Sweden
b Faculty of Physics, Division of Mathematical Physics, A. Mickiewicz University, Poznań, Poland
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DOI: https://doi.org/10.3842/SIGMA.2017.077
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.
Keywords: Hamiltonian systems; superintegrable systems; Stäckel systems; hydrodynamic systems; Stäckel transform.
Received: June 12, 2017; in final form September 25, 2017; Published online September 28, 2017
Bibliographic databases:
Document Type: Article
MSC: 70H06; 70H20; 35F50; 53B20
Language: English
Citation: Krzysztof Marciniak, Maciej Błaszak, “Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians”, SIGMA, 13 (2017), 077, 15 pp.
Citation in format AMSBIB
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\paper Non-Homogeneous Hydrodynamic Systems and Quasi-St\"{a}ckel Hamiltonians
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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