Asymmetric separation of variables for the extended Clebsch and Manakov models
DOI10.1016/j.geomphys.2023.105078OpenAlexW4389612474MaRDI QIDQ6146392
Publication date: 5 February 2024
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.105078
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Integrable cases of motion in rigid body dynamics (70E40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
- Separation of variables for bi-Hamiltonian systems
- On a Poisson reduction for Gel'fand-Zakhare\-vich manifolds
- ``Symmetric separation of variables for the Clebsch system
- Variable separation for natural Hamiltonians with scalar and vector potentials on Riemannian manifolds
- Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions
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