Integrable discretizations of the Bogoyavlensky lattices
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Publication:5284836
DOI10.1063/1.531611zbMath0863.58042arXivsolv-int/9512007OpenAlexW1576643304MaRDI QIDQ5284836
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
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)
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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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