Equations and Integrals of Motion in Discrete Integrable $A_{k-1}$ Algebra Models
solv-int
2007-05-23 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We study integrals of motion for Hirota bilinear difference equation that is satisfied by the eigenvalues of the transfer-matrix. The combinations of the eigenvalues of the transfer-matrix are found, which are integrals of motion for integrable discrete models for the algebra with zero and quasiperiodic boundary conditions. Discrete analogues of the equations of motion for the Bullough-Dodd model and non-Abelian generalization of Liouville model are obtained.
Keywords
Cite
@article{arxiv.solv-int/9911009,
title = {Equations and Integrals of Motion in Discrete Integrable $A_{k-1}$ Algebra Models},
author = {A. P. Protogenov and V. A. Verbus},
journal= {arXiv preprint arXiv:solv-int/9911009},
year = {2007}
}
Comments
20 pages