Separation of variables on a non-hyperelliptic curve

DOI10.1070/RD2005v010n01ABEH000300zbMath1077.37518arXivnlin/0412065MaRDI QIDQ2569539

V. G. Marikhin, Vladimir Sokolov

Publication date: 28 October 2005

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0412065

zbMATH Keywords

Hamilton-Jacobi equationseparation of variablesintegrable tops

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Integrable cases of motion in rigid body dynamics (70E40) Algebraic geometry methods for problems in mechanics (70G55)

Related Items (9)

Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups ⋮ Non-homogeneous systems of hydrodynamic type possessing Lax representations ⋮ Quantum tops as examples of commuting differential operators ⋮ Transformation of a pair of commuting hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top ⋮ Separation of variables in the anisotropic Schottky-Frahm ⋮ Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems ⋮ Generalized Stäckel systems ⋮ The Gibbons–Tsarev equation: symmetries, invariant solutions, and applications ⋮ Pairs of commuting Hamiltonians quadratic in the momenta

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