On the invariant separated variables

DOI10.1070/RD2001v006n03ABEH000179zbMath0992.37051OpenAlexW4231410583MaRDI QIDQ1598932

Andreĭ Vladimirovich Tsyganov

Publication date: 28 May 2002

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

Full work available at URL: http://www.turpion.com

zbMATH Keywords

Poisson manifoldHamiltonian system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

Separation of variables in the anisotropic Schottky-Frahm, Darboux-Nijenhuis variables for open generalized Toda chains, ``Symmetric separation of variables for the Clebsch system, Poisson pencils, algebraic integrability, and separation of variables