On the master symmetries related to certain classes of integrable Hamiltonian systems

DOI10.1088/0305-4470/29/24/034zbMath0898.58032OpenAlexW1985910657MaRDI QIDQ4394440

Roman G. Smirnov

Publication date: 11 June 1998

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/24/034

zbMATH Keywords

master symmetriesaction-angle variablesintegrable Hamiltonian systems

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) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (5)

Bi-Hamiltonian partially integrable systems ⋮ Magri–Morosi–Gel’fand–Dorfman’s bi-Hamiltonian constructions in the action-angle variables ⋮ Bi-Hamiltonian systems of deformation type ⋮ About the separability of completely integrable quasi-bi-Hamiltonian systems with compact levels ⋮ The action-angle coordinates revisited: bi-Hamiltonian systems

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