Recursion operators: Meaning and existence for completely integrable systems

DOI10.1063/1.530613zbMath0801.58020OpenAlexW2035912270MaRDI QIDQ4298592

Giuseppe Marmo, Gaetano Vilasi, Giovanni Landi

Publication date: 8 August 1994

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

Full work available at URL: https://semanticscholar.org/paper/c8fbb665b42395029f6620ad1a2c0cbc7f9f5cd4

zbMATH Keywords

Hamiltonianrecursion operatorscompletely integrable 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)

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Cites Work

• On the theory of recursion operator
• A simple model of the integrable Hamiltonian equation
• About the existence of recursion operators for completely integrable Hamiltonian systems near a Liouville torus