The paper classifies explicit asymptotic solutions for the Painlevé 5 equation near infinity in the right half-plane using Riemann-Hilbert correspondence with full monodromy data coverage, adding elliptic and truncated asymptotics plus a nonlinear monodromy-Stokes structure.
Umemura, Birational automorphism groups and differential equations, Equations differentielles dans le champ complex, vol II (Strasbourg, 1985)
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Riemann-Hilbert characterisation of Painlev\'e 5 asymptotics and nonlinear monodromy-Stokes structure
The paper classifies explicit asymptotic solutions for the Painlevé 5 equation near infinity in the right half-plane using Riemann-Hilbert correspondence with full monodromy data coverage, adding elliptic and truncated asymptotics plus a nonlinear monodromy-Stokes structure.