论文标题
具有自洽来源及其对称减少的离散Darboux系统
Discrete Darboux system with self-consistent sources and its symmetric reduction
论文作者
论文摘要
使用矢量基本(二进制darboux)转换和其他自变量的方法,构建了具有自洽来源方程式方程式的非交通darboux系统。然后提出了具有源的离散darboux方程的对称减少。为了提供结果方程的更简单版本,我们介绍了(交换)离散Darboux系统的$τ/σ$形式。我们的方程式在连续限制下给出了具有经典对称Darboux系统的自洽来源的版本。
The discrete non-commutative Darboux system of equations with self-consistent sources is constructed, utilizing both the vectorial fundamental (binary Darboux) transformation and the method of additional independent variables. Then the symmetric reduction of discrete Darboux equations with sources is presented. In order to provide a simpler version of the resulting equations we introduce the $τ/σ$ form of the (commutative) discrete Darboux system. Our equations give, in continuous limit, the version with self-consistent sources of the classical symmetric Darboux system.