A Matrix Model Solution of Hirota Equation
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.
 Publication:

arXiv eprints
 Pub Date:
 November 1997
 DOI:
 10.48550/arXiv.hepth/9711019
 arXiv:
 arXiv:hepth/9711019
 Bibcode:
 1997hep.th...11019K
 Keywords:

 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Exactly Solvable and Integrable Systems
 EPrint:
 19 pages, Latex, no figures