Alexander Sakhnovich, “Bäcklund–Darboux Transformation for Non-Isospectral Canonical System and Riemann–Hilbert Problem”, SIGMA, 2007, Volume 3,054, 11 pp.

This article is cited 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.

MSC: 35Q15; 37K35

Received: October 25, 2006; in final form March 19, 2007; Published online March 25, 2007

Language: English

DOI: 10.3842/SIGMA.2007.054