Bäcklund transformations for thesl(2) Gaudin magnet

DOI10.1088/0305-4470/34/11/336zbMath1054.82005arXivnlin/0007041OpenAlexW3125642034MaRDI QIDQ2716914

Andrew N. W. Hone, Orlando Ragnisco, Vadim B. Kuznetsov

Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0007041

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (7)

Quantum Bäcklund transformations: some ideas and examples ⋮ Bäcklund Transformations on Coadjoint Orbits of the Loop Algebra ~gl(r) ⋮ New formula for the eigenvectors of the Gaudin model in the \(\operatorname{sl}(3)\) case ⋮ An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems ⋮ Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies ⋮ Relationships among three kinds of finite dimensional integrable Hamiltonian systems ⋮ Bäcklund transformations for the elliptic Gaudin model and a Clebsch system

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