Asymmetric separation of variables for the extended Clebsch and Manakov models

DOI10.1016/j.geomphys.2023.105078OpenAlexW4389612474MaRDI QIDQ6146392

T. V. Skrypnik

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

zbMATH Keywords

integrable systemsseparation of variablesanisotropic tops

Mathematics Subject Classification ID

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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