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

被引：1
|
作者：
Verbus, VA [1 ]
Protogenov, AP
机构：
[1] RAS, Inst Phys Microstruct, Nizhnii Novgorod, Russia
[2] RAS, Inst Phys Appl, Nizhnii Novgorod, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1999年 / 119卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1007/BF02557340
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 Tsitseika equation are obtained.
引用
收藏
页码：420 / 430
页数：11
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