Factorization and Poisson correspondences

DOI10.1007/BF02070933zbMath0865.58029MaRDI QIDQ676900

Allan P. Fordy, A. B. Shabat, Alexander P. Veselov

Publication date: 23 March 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorsKac-Moody algebrasfactorizationstationary flowsDarboux transformationintegrable infinite-dimensional Poisson correspondence

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

Lagrangian submanifolds in product symplectic spaces ⋮ Stationary flows: Hamiltonian structures and canonical transformations ⋮ Integrable symplectic maps via reduction of Bäcklund transformation ⋮ The dressing chain of discrete symmetries and proliferation of nonlinear equations

Cites Work

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• Integrable maps
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