Superintegrable Systems and Recursion Operators

DOI10.1142/S021773230301274XzbMath1086.37038OpenAlexW2137505560MaRDI QIDQ5704706

Giovanni Sparano

Publication date: 15 November 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021773230301274x

zbMATH Keywords

recursion operatorsnoncommutative integrabilitybi-Hamiltonian dynamics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (1)

Integrable and superintegrable systems with higher order integrals of motion: master function formalism

Cites Work

• A geometrical approach to the integrability of soliton equations
• Generalized Liouville method of integration of Hamiltonian systems
• Compatibility of symplectic structures adapted to noncommutatively integrable systems
• Noncommutative integrability and recursion operators
• THE STRUCTURES OF HAMILTONIAN MECHANICS
• Recursion operators: Meaning and existence for completely integrable systems

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