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SIGMA, 2017, Volume 13, 077, 15 pages (Mi sigma1277)  

This article is cited in 1 scientific paper (total in 1 paper)

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

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.

DOI: https://doi.org/10.3842/SIGMA.2017.077

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Full text: http://www.emis.de/.../077
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Bibliographic databases:

MSC: 70H06; 70H20; 35F50; 53B20
Received: June 12, 2017; in final form September 25, 2017; Published online September 28, 2017
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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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\by Krzysztof~Marciniak, Maciej~B\l aszak
\paper Non-Homogeneous Hydrodynamic Systems and Quasi-St\"{a}ckel Hamiltonians
\jour SIGMA
\yr 2017
\vol 13
\papernumber 077
\totalpages 15
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\crossref{https://doi.org/10.3842/SIGMA.2017.077}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85031312487}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Blaszak M., “Non-Autonomous Henon-Heiles System From Painleve Class”, Phys. Lett. A, 383:18 (2019), 2149–2152  crossref  isi
  • Symmetry, Integrability and Geometry: Methods and Applications
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