V. A. Verbus, A. P. Protogenov, “Equations of motion and conserved quantities in non-Abelian discrete integrable models”, TMF, 1999, Volume 119, Number 1,Pages <nobr>34

This article is cited in 3 papers

Equations of motion and conserved quantities in non-Abelian discrete integrable models

V. A. Verbus^a, A. P. Protogenov^b

^a Institute for Physics of Microstructures, Russian Academy of Sciences
^b Institute of Applied Physics, Russian Academy of Sciences

Abstract: Conserved quantities for the Hirota bilinear difference equation, which is satisfied by eigenvalues of the transfer matrix, are studied. The transfer-matrix eigenvalue combinations that are integrals of motion for discrete integrable models, which correspond to $A_{k-1}$ algebras and satisfy zero or quasi-periodic boundary conditions, are found. Discrete equations of motion for a non-Abelian generalization of the Liouville model and the discrete analogue of the Tsitseiko equation are obtained.

Received: 25.06.1998
Revised: 28.08.1998

DOI: 10.4213/tmf725