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Non-Homogeneous Hydrodynamic Systems and Quasi-Stackel Hamiltonians
Linköping University, Department of Science and Technology, Communications and Transport Systems. Linköping University, Faculty of Science & Engineering.
Adam Mickiewicz University, Poland.
2017 (English)In: SIGMA. Symmetry, Integrability and Geometry, ISSN 1815-0659, E-ISSN 1815-0659, Vol. 13, 077Article in journal (Refereed) Published
Abstract [en]

In this paper we present a novel construction of non-homogeneous hydrodynamic equations from what we call quasi-Stackel systems, that is non-commutatively integrable systems constructed from appropriate maximally superintegrable Stackel systems. We describe the relations between Poisson algebras generated by quasi-Stackel Hamiltonians and the corresponding Lie algebras of vector fields of non-homogeneous hydrodynamic systems. We also apply Stackel transform to obtain new non-homogeneous equations of considered type.

Place, publisher, year, edition, pages
NATL ACAD SCI UKRAINE, INST MATH , 2017. Vol. 13, 077
Keyword [en]
Hamiltonian systems; superintegrable systems; Stackel systems; hydrodynamic systems; Stackel transform
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-142191DOI: 10.3842/SIGMA.2017.077ISI: 000412604400001OAI: oai:DiVA.org:liu-142191DiVA: diva2:1151514
Available from: 2017-10-23 Created: 2017-10-23 Last updated: 2017-10-23

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Marciniak, Krzysztof
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Communications and Transport SystemsFaculty of Science & Engineering
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