Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix

DOI10.1016/j.nuclphysb.2014.09.001zbMath1325.82014arXiv1406.2995OpenAlexW1989485655MaRDI QIDQ894773

Andrei V. Zotov, Andrey M. Levin, Mikhail A. Olshanetsky

Publication date: 23 November 2015

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2995

zbMATH Keywords

Landau-Lifshitz type equation

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) Exactly solvable models; Bethe ansatz (82B23) Soliton equations (35Q51) Statistical mechanics of magnetic materials (82D40)

Related Items (17)

Planck constant as spectral parameter in integrable systems and KZB equations ⋮ On the Generalized Heisenberg Supermagnetic Model ⋮ Higher-rank generalization of the 11-vertex rational \(R\)-matrix: IRF-vertex relations and the associative Yang-Baxter equation ⋮ On the higher order Heisenberg supermagnet model in (2+1)-dimensions ⋮ Integrable system of generalized relativistic interacting tops ⋮ On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators ⋮ Trigonometric integrable tops from solutions of associative Yang-Baxter equation ⋮ Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations ⋮ Generalized model of interacting integrable tops ⋮ On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system ⋮ On factorized Lax pairs for classical many-body integrable systems ⋮ Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI ⋮ Multi-pole extension of the elliptic models of interacting integrable tops ⋮ Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation ⋮ On a integrable deformations of Heisenberg supermagnetic model ⋮ Relativistic elliptic matrix tops and finite Fourier transformations ⋮ Nonstandard representations of type \(C\) affine Hecke algebra from \(K\)-operators.

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