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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
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
Citation:
Alexander Sakhnovich, “Bäcklund–Darboux Transformation for Non-Isospectral Canonical System and Riemann–Hilbert Problem”, SIGMA, 3 (2007), 054, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma180 https://www.mathnet.ru/eng/sigma/v3/p54
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