On the Malgrange isomonodromic deformations of non-resonant meromorphic (2x2)-connections
Yuliya P. Bibilo, Renat R. Gontsov
TL;DR
This paper investigates the tau-function and theta-divisor in isomonodromic families of 2x2 linear differential systems with non-resonant irregular singularities, providing estimates for pole orders of coefficient matrices.
Contribution
It offers new insights into the behavior of tau-functions and theta-divisors in non-resonant isomonodromic deformations of 2x2 systems, including pole order estimates.
Findings
Derived estimates for pole orders of coefficient matrices.
Analyzed the structure of tau-functions and theta-divisors.
Extended understanding of non-resonant irregular singularities.
Abstract
We study the tau-function and theta-divisor of an isomonodromic family of linear differential (2x2)-systems with non-resonant irregular singularities. In some particular case the estimates for pole orders of the coefficient matrices of the family are applied.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Advanced Topics in Algebra