Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study
arXiv:2010.11235
Abstract
A one-parameter family of trans-series asymptotics of solutions to the Degenerate Painlevé III Equation (DP3E) are parametrised in terms of the monodromy data of an associated two-by-two linear auxiliary problem via the isomonodromy deformation approach: trans-series asymptotics for the associated Hamiltonian and principal auxiliary functions and the solution of one of the sigma-forms of the DP3E are also obtained. The actions of Lie-point symmetries for the DP3E are derived.
References in corpus (8)
- Asymptotics of the instantons of Painleve I
- Quasi-linear Stokes phenomenon for the Painlevé first equation
- Connection Formulae for Asymptotics of Solutions of the Degenerate Third Painleve' Equation: II
- Perturbed Hankel determinant, correlation functions and Painlevé equations
- Stokes Phenomena in Discrete Painlevé II
- On the Increasing Tritronquée Solutions of the Painlevé-II Equation
- Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data
- Tronquée Solutions of the Third and Fourth Painlevé Equations