Integrable discretizations of the Bogoyavlensky lattices

DOI10.1063/1.531611zbMath0863.58042arXivsolv-int/9512007OpenAlexW1576643304MaRDI QIDQ5284836

Yuri Borisovich Suris

Publication date: 3 June 1997

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

Full work available at URL: https://arxiv.org/abs/solv-int/9512007

zbMATH Keywords

integrable discretization\(r\)-matrixBogoyavlensky lattices

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) Matrix and operator functional equations (39B42)

Related Items (10)

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Cites Work

• Integrable discrete-time systems and difference operators
• Discrete Painlevé equations: coalescences, limits and degeneracies
• Integrable time-discretization of the Ruijsenaars-Schneider model
• On the \(r\)-matrix interpretation of Bogoyavlensky lattices
• A time-discretized version of the Calogero-Moser model
• Dynamical \(r\)-matrices for integrable maps
• Bi-Hamiltonian structure of the \(qd\) algorithm and new discretizations of the Toda lattice
• A family of integrable symplectic standard-like maps related to symmetric spaces
• Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
• A discrete-time relativistic Toda lattice
• ALGEBRAIC CONSTRUCTIONS OF CERTAIN INTEGRABLE EQUATIONS

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