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Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2007) 3
DOI: 10.3842/SIGMA.2007.054
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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.

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Sakhnovich, A. (2007). Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3. https://doi.org/10.3842/SIGMA.2007.054

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