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

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...

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Bibliographic Details
Main Author: Alexander Sakhnovich
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/054/