Isomonodromic deformation of resonant rational connections

DOI10.1155/IMRP.2005.565zbMath1113.34063arXivnlin/0510011OpenAlexW3102037483MaRDI QIDQ5477744

Marco Bertola, Man Yue Mo

Publication date: 6 July 2006

Published in: International Mathematics Research Papers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0510011

zbMATH Keywords

tau functionFuchsian systemsIsomonodromic deformationsAiry-like equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (6)

Biorthogonal polynomials for two-matrix models with semiclassical potentials ⋮ Duality for the general isomonodromy problem ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ Isomonodromic deformations of connections with singularities of parahoric formal type ⋮ Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity ⋮ Isomonodromic deformations along a stratum of the coalescence locus

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