Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems.

DOI10.1016/S0393-0440(02)00173-0zbMath1073.37068arXivnlin/0209014OpenAlexW2049788670MaRDI QIDQ1399288

Maciej Błaszak, Wen-Xiu Ma

Publication date: 30 July 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0209014

zbMATH Keywords

Hamiltonian structureshydrodynamic systemsStäckel separability

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (6)

Applications of Nijenhuis geometry. V: Geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems ⋮ Separability in Riemannian manifolds ⋮ Non-Hamiltonian systems separable by Hamilton-Jacobi method ⋮ A coordinate-free construction of conservation laws and reciprocal transformations for a class of integrable hydrodynamic-type systems ⋮ Special symmetric two-tensors, equivalent dynamical systems, cofactor and bi-cofactor systems ⋮ From Stäckel systems to integrable hierarchies of PDE’s: Benenti class of separation relations

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