Bäcklund transformations for the elliptic Gaudin model and a Clebsch system

DOI10.1063/1.3607972zbMath1317.37084arXiv1101.4853OpenAlexW3098292831MaRDI QIDQ5266094

Federico Zullo

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1101.4853

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations ⋮ On an integrable discretisation of the Ablowitz-Ladik hierarchy ⋮ The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bäcklund transformations for the Kirchhoff top
• Separation of variables in the Gaudin model
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems
• Bäcklund transformations for the trigonometric Gaudin magnet
• The complex exponent of a singularity does not change along strata mu=const
• Separation of variables in the elliptic Gaudin model.
• Bäcklund transformations for finite-dimensional integrable systems: a geometric approach.
• Algebraic Bethe ansatz for the \(XYZ\) Gaudin model
• From \(\mathfrak {su}(2)\) Gaudin models to integrable tops
• Bäcklund transformations for thesl(2) Gaudin magnet
• The BCS model and the off-shell Bethe ansatz for vertex models
• Classical Yang–Baxter equations and quantum integrable systems
• Bäcklund transformations as exact integrable time discretizations for the trigonometric Gaudin model
• Integrable system connected with the Coulomb three-body problem near two-particle thresholds
• On Bäcklund transformations for many-body systems
• Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet
• Algebraic Extensions of Gaudin Models

This page was built for publication: Bäcklund transformations for the elliptic Gaudin model and a Clebsch system