Magri–Morosi–Gel’fand–Dorfman’s bi-Hamiltonian constructions in the action-angle variables

DOI10.1063/1.532221zbMath0898.58033OpenAlexW1977465811MaRDI QIDQ4384788

Roman G. Smirnov

Publication date: 26 April 1998

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

Full work available at URL: https://doi.org/10.1063/1.532221

zbMATH Keywords

Kepler problemaction-angle coordinatesbi-Hamiltonian systemMagri-Morosi-Gel'fand Dorfman's bi-Hamiltonian form

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

Hamiltonian Dynamics of a spaceship in Alcubierre and G\"odel metrics: Recursion operators and underlying master symmetries ⋮ Noncommutative Kepler dynamics: symmetry groups and bi-Hamiltonian structures

Cites Work

• Hamiltonian operators and algebraic structures related to them
• Completely integrable bi-Hamiltonian systems
• Theory of tensor invariants of integrable Hamiltonian systems. I: Incompatible Poisson structures
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• Hamiltonian structures for systems of hyperbolic conservation laws
• A simple model of the integrable Hamiltonian equation
• About the existence of recursion operators for completely integrable Hamiltonian systems near a Liouville torus
• Symmetries of Toda equations
• On the master symmetries and bi-Hamiltonian structure of the Toda lattice
• On the master symmetries related to certain classes of integrable Hamiltonian systems
• Lax–Nijenhuis operators for integrable systems
• Integrals of nonlinear equations of evolution and solitary waves

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