Results 101 to 110 of about 16,880 (213)
Two-component Yang-Baxter maps and star-triangle relations
, 2022 It is shown how Yang-Baxter maps may be directly obtained from classical counterparts of the star-triangle relations and quantum Yang-Baxter equations.
Kels, Andrew P.
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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On solutions to the twisted Yang-Baxter equation
Journal of Mathematical Sciences, 1997 9 pages (Minor misprints are corrected. Published in Zap.nauch.semin. POMI 215 (1994))
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Yang-Baxter deformations of the OSP(1|2) WZW model
Physics Letters BWe obtain inequivalent classical r-matrices of the osp(1|2) Lie superalgebra as real solutions of the graded (modified) classical Yang-Baxter equation, in such a way that the corresponding automorphism transformation is employed.
Ali Eghbali +2 more
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Unimodular jordanian deformations of integrable superstrings
SciPost Physics, 2019 We find new homogeneous r matrices containing supercharges, and use them to find new backgrounds of Yang-Baxter deformed superstrings. We obtain these as limits of unimodular inhomogeneous r matrices and associated deformations of AdS2 x S2 x T6 and ...
Stijn J. van Tongeren
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Yang-Baxter equations and intermediate long wave hierarchies.
, 1989 From the MR review by T.S.Ratiu: "The authors investigate the algebraic structure of the intermediate long wave equation (ILW). The general framework is that of a manifold endowed with a Nijenhuis tensor and a group of symmetries keeping this tensor ...
TONDO, GIORGIO SALVATORE +3 more
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Commuting solutions of the Yang–Baxter matrix equation
Applied Mathematics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiu Ding, Chenhua Zhang, Noah H. Rhee
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Families of Integrable Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations.
Pavlos Kassotakis, Maciej Nieszporski
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Yang - Baxter maps, poisson structure and integrability
, 2010 The purpose of this thesis is the construction and the study of set theoretical solutions of the quantum Yang-Baxter equation (Yang-Baxter maps) and the connection with the integrability of discrete integrable systems.
Kouloukas, Theodoros +1 more
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Diagonals of solutions of the Yang–Baxter equation
Forum MathematicumAbstract We study the diagonal mappings in non-involutive set-theoretic solutions of the Yang–Baxter equation. We show that, for non-degenerate solutions, they are commuting bijections. This gives the positive answer to the question: “Is every non-degenerate solution bijective?” of Cedó, Jespers and Verwimp.
Přemysl Jedlicka, Agata Pilitowska
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