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

页数：11

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