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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Sakhnovich, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147782
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem / A. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ.

A GBDT version of the Bäcklund-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 fo...