Backlund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem

被引：7
|
作者：
Sakhnovich, Alexander [1 ]
机构：
[1] Univ Vienna, Fak Math, A-1090 Vienna, Austria
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2007年 / 3卷
基金：
奥地利科学基金会;
关键词：
Backlund-Darboux transformation; canonical system; random matrix theory;
D O I：
10.3842/SIGMA.2007.054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A GBDT version of the Backlund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas are obtained. A related inverse problem is formulated and solved.
引用
收藏
页数：11
相关论文
共 50 条
12345