Yang–Baxter maps with first-degree-polynomial 2 × 2 Lax matrices

DOI10.1088/1751-8113/42/40/404012zbMath1217.37067arXiv0903.1827OpenAlexW3103281823MaRDI QIDQ3654305

Theodoros E. Kouloukas, V. G. Papageorgiou

Publication date: 5 January 2010

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

Full work available at URL: https://arxiv.org/abs/0903.1827

zbMATH Keywords

Yang-Baxter maps

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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A noncommutative discrete potential KdV lift ⋮ Relativistic collisions as Yang-Baxter maps ⋮ Birational solutions to the set-theoretical 4-simplex equation ⋮ Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere ⋮ Integrable extensions of the Adler map via Grassmann algebras ⋮ Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems ⋮ Poisson Yang-Baxter maps with binomial Lax matrices ⋮ Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems ⋮ Entwining Yang–Baxter maps related to NLS type equations

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