Bispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method

Details Bispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method Bispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method

1997-10-22

arxiv.org/abs/solv-int/9710016v1

CRM Proc. Lecture Notes 14, 67-79, (Amer. Math. Soc., Providence, RI, 1998)

Physics

High Energy Physics

High Energy Physics - Theory

AMSTeX 13pgs. Text of talk presented at the workshop on the Bispectral Problem, Centre de recherches mathematiques, Universite

Scientific paper

A comparison is made between bispectral systems and dual isomonodromic deformation equations. A number of examples are given, showing how bispectral systems may be embedded into isomonodromic ones. Sufficiency conditions are given for the construction of rational solutions of isomonodromic deformation equations through the Riemann-Hilbert problem dressing method, and these are shown, in certain cases, to reduce to bispectral systems.

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