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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 054, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.054 (Mi sigma180) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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

Alexander Sakhnovich

Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090 Wien, Austria
Full-text PDF (229 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2007.054
Abstract: 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.
Keywords: Bäcklund–Darboux transformation; canonical system; random matrix theory.
Received: October 25, 2006; in final form March 19, 2007; Published online March 25, 2007
Bibliographic databases:
Document Type: Article
MSC: 35Q15; 37K35
Language: English
Citation: Alexander Sakhnovich, “Bäcklund–Darboux Transformation for Non-Isospectral Canonical System and Riemann–Hilbert Problem”, SIGMA, 3 (2007), 054, 11 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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