Invariants in separated variables: Yang-Baxter, entwining and transfer maps

DOI10.3842/SIGMA.2019.048zbMath1423.14097arXiv1901.01609WikidataQ127622881 ScholiaQ127622881MaRDI QIDQ2330819

Pavlos Kassotakis

Publication date: 23 October 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01609

zbMATH Keywords

discrete integrable systemstransfer mapsYang-Baxter mapsentwining maps

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) 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) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relationships between algebraic curves and integrable systems (14H70)

Related Items

Nonlinear Schrödinger type tetrahedron maps ⋮ Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps ⋮ On non-abelian quadrirational Yang–Baxter maps* ⋮ Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ A three-dimensional generalization of QRT maps ⋮ Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation ⋮ Two-component Yang-Baxter maps and star-triangle relations ⋮ Integrable two-component systems of difference equations ⋮ Re-factorising a QRT map ⋮ Tetrahedron maps and symmetries of three dimensional integrable discrete equations ⋮ Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems ⋮ Entwining Yang–Baxter maps related to NLS type equations ⋮ Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation

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