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

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:
Bäcklund-Darboux transformation
canonical system
random matrix theory
Online Access:http://www.emis.de/journals/SIGMA/2007/054/
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spelling doaj-1eab70cbcc4741258556f6ffb737985c2020-11-24T21:01:29ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-03-013054Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert ProblemAlexander SakhnovichA 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 formulated and solved.http://www.emis.de/journals/SIGMA/2007/054/Bäcklund-Darboux transformationcanonical systemrandom matrix theory
collection DOAJ
language English
format Article
sources DOAJ
author Alexander Sakhnovich
spellingShingle Alexander Sakhnovich
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
Symmetry, Integrability and Geometry: Methods and Applications
Bäcklund-Darboux transformation
canonical system
random matrix theory
author_facet Alexander Sakhnovich
author_sort Alexander Sakhnovich
title Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
title_short Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
title_full Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
title_fullStr Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
title_full_unstemmed Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
title_sort bäcklund-darboux transformation for non-isospectral canonical system and riemann-hilbert problem
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2007-03-01
description 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 formulated and solved.
topic Bäcklund-Darboux transformation
canonical system
random matrix theory
url http://www.emis.de/journals/SIGMA/2007/054/
work_keys_str_mv AT alexandersakhnovich backlunddarbouxtransformationfornonisospectralcanonicalsystemandriemannhilbertproblem
_version_ 1716777846559473664

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