Completely integrable systems and symplectic actions

DOI10.1063/1.523963zbMath0414.58020OpenAlexW1969672647MaRDI QIDQ3049557

Mark Adler

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.523963

zbMATH Keywords

completely integrable systemssymplectic actions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Compact Lie groups of differentiable transformations (57S15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Noncompact Lie groups of transformations (57S20) Hamiltonian and Lagrangian mechanics (70Hxx)

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Cites Work

• Three integrable Hamiltonian systems connected with isospectral deformations
• Reduction of symplectic manifolds with symmetry
• Some finite dimensional integrable systems and their scattering behavior