Bi-Hamiltonian dynamical systems related to low-dimensional Lie algebras

DOI10.1016/0378-4371(89)90005-8zbMath0706.58063OpenAlexW2066897473MaRDI QIDQ919353

Stefan Wojciechowski, Maciej Błaszak

Publication date: 1989

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(89)90005-8

zbMATH Keywords

Lie algebrasbi-Hamiltonian systems

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lie algebras and Lie superalgebras (17B99)

Related Items (6)

On a non-standard algebraic description of integrable nonlinear systems ⋮ On separability of bi-Hamiltonian chain with degenerated Poisson structures ⋮ Superintegrable cases of four-dimensional dynamical systems ⋮ Poisson structure of dynamical systems with three degrees of freedom ⋮ Quantized W-algebra of sl(2, 1) and Quantum Parafermions of Uq(^sl(2)) ⋮ Jacobi structures in R3

Cites Work

• Unnamed Item
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Symmetry properties and bi-Hamiltonian structure of the Toda lattice
• Invariants of real low dimension Lie algebras
• A simple model of the integrable Hamiltonian equation

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