Non-Homogeneous Hydrodynamic Systems and Quasi-Stackel Hamiltonians

作者：Marciniak Krzysztof^*; Blaszak Maciej

来源：Symmetry Integrability and Geometry-Methods and Applications, 2017, 13: 077.

DOI：10.3842/SIGMA.2017.077

• Hamiltonian systems
• superintegrable systems
• Stackel systems
• hydrodynamic systems
• Stackel transform

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.

• 出版日期2017