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

被引：0
|
作者：
V. A. Verbus
A. P. Protogenov
机构：
[1] RAS,Institute for Physics of Microstructures
[2] RAS,Institute for Applied Physics
来源：
Theoretical and Mathematical Physics | 1999年 / 119卷
关键词：
Continuous Limit; Discrete Equation; Hirota Equation; Lipan; Liouville Model;
D O I：
暂无
中图分类号：
学科分类号：
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 Ak−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.
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页码：420 / 430
页数：10
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