B\"acklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
Mathematical Physics
2008-04-24 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math-ph/0703072,
title = {B\"acklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:math-ph/0703072},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/