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

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

2007-03-25

arxiv.org/abs/math-ph/0703072v1

SIGMA 3 (2007), 054, 11 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.054

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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