A completely integrable Hamiltonian system

DOI10.1063/1.531536zbMath0864.58025OpenAlexW2046414959MaRDI QIDQ5284247

Francesco Calogero, Jean-Pierre Françoise

Publication date: 6 July 1997

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

Full work available at URL: https://doi.org/10.1063/1.531536

zbMATH Keywords

completely integrable Hamiltonian 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)

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Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• An integrable Hamiltonian system
• An integrable shallow water equation with peaked solitons
• Regularization of kepler's problem and the averaging method on a manifold