\(r\)-matrix and algebraic-geometric solution for integrable symplectic map.

DOI10.1007/BF02884730zbMath1142.37361OpenAlexW2049945413MaRDI QIDQ701589

Zhijun Qiao

Publication date: 6 November 2002

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02884730

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

• Nonlinearization of the Lax system for AKNS hierarchy
• Dynamical \(r\)-matrices for integrable maps
• Discrete and continuous integrable systems possessing the same non-dynamical \(r\)-matrix.
• Forced lattice vibrations: Part II
• On the relation of the stationary Toda equation and the symplectic maps
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