How to find the Lax pair from the Yang-Baxter equation

Michio Jimbo

JUGuo-Xing

Using the colored Yang-Baxter equation,the Lax pairs for the system with color parameters and periodic boundary conditions are derived.The explicit expressions of the Lax pairs for the six-vertex standard R matrices of both the Baxter and free-Fermion types are given.

Michio Jimbo

Ju Guo-Xing

Using the colored Yang–Baxter equation, the Lax pairs for the system with color parameters and periodic boundary conditions are derived. The explicit expressions of the Lax pairs for the six-vertex standard matrices of both the Baxter and free-Fermion types are given.

Rinat Kashaev, Vladimir V. Mangazeev

A. Lima-Santos

We show explicitly how to construct the quantum Lax pair for systems with open boundary conditions. We demonstrate the method by applying it to the Heisenberg XXZ model with general integrable boundary terms.