How to solve Yang-Baxter equation using the Taylor expansion of R-matrix

P.N. Bibikov

How to solve Yang-Baxter equation using the Taylor expansion of R-matrix

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arxiv nlin/0112001 v1 pith:V6I2BAUY submitted 2001-12-01 nlin.SI

How to solve Yang-Baxter equation using the Taylor expansion of R-matrix

P.N. Bibikov This is my paper

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A new method for solving the Yang-Baxter equation is presented. It is based on the Taylor expansion of R-matrix which is developed up to the power lambda^6. Using this method the R-matrix for integrable spin ladder is calculated.

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A Simple Necessary and Sufficient Condition for Yang--Baxter Integrability
cond-mat.stat-mech 2026-07 conditional novelty 8.0

The Reshetikhin condition on a nearest-neighbour spin-chain Hamiltonian is sufficient (and necessary) for the existence of a regular difference-form Yang–Baxter R-matrix, resolving a 1980s conjecture.