Integrable boundary conditions and modified Lax equations
High Energy Physics - Theory
2009-06-19 v2 Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix and the boundary matrix.
Cite
@article{arxiv.0710.1538,
title = {Integrable boundary conditions and modified Lax equations},
author = {Jean Avan and Anastasia Doikou},
journal= {arXiv preprint arXiv:0710.1538},
year = {2009}
}
Comments
27 pages Latex. References added and typos corrected