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arXiv · 1706.02873

Non-Homogeneous Hydrodynamic Systems and Quasi-St\"ackel Hamiltonians

Krzysztof Marciniak·Maciej Blaszak
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Abstract

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

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Krzysztof Marciniak, Maciej Blaszak. 2017-06-09. Non-Homogeneous Hydrodynamic Systems and Quasi-St\"ackel Hamiltonians. https://doi.org/10.3842/sigma.2017.077

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