A Matrix Model Solution of Hirota Equation
High Energy Physics - Theory
2007-05-23 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
We present a hermitian matrix chain representation of the general solution of the Hirota bilinear difference equation of three variables. In the large N limit this matrix model provides some explicit particular solutions of continuous differential Hirota equation of three variables. A relation of this representation to the eigenvalues of transfer matrices of 2D quantum integrable models is discussed.
Cite
@article{arxiv.hep-th/9711019,
title = {A Matrix Model Solution of Hirota Equation},
author = {Vladimir A. Kazakov},
journal= {arXiv preprint arXiv:hep-th/9711019},
year = {2007}
}
Comments
19 pages, Latex, no figures