Non-Homogeneous Hydrodynamic Systems and Quasi-St\"ackel Hamiltonians
Exactly Solvable and Integrable Systems
2017-09-29 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1706.02873,
title = {Non-Homogeneous Hydrodynamic Systems and Quasi-St\"ackel Hamiltonians},
author = {Krzysztof Marciniak and Maciej Blaszak},
journal= {arXiv preprint arXiv:1706.02873},
year = {2017}
}