B\"acklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
Abstract
A GBDT version of the Backlund-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.
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