Bäcklund transformations as exact integrable time discretizations for the trigonometric Gaudin model

DOI10.1088/1751-8113/43/43/434029zbMath1203.82027arXiv1003.0389OpenAlexW2099636945MaRDI QIDQ3057443

Federico Zullo, Orlando Ragnisco

Publication date: 24 November 2010

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

Full work available at URL: https://arxiv.org/abs/1003.0389

zbMATH Keywords

Lax representationBäcklund transformationDarboux matrixHeisenberg chainGaudin magnet

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Statistical mechanics of magnetic materials (82D40)

Related Items (3)

Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations ⋮ The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions ⋮ Bäcklund transformations for the elliptic Gaudin model and a Clebsch system

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