Details

Autor(en) / Beteiligte

• Deaño, Alfredo

Titel

On the Riemann–Hilbert approach to asymptotics of tronquée solutions of Painlevé I

Ist Teil von

• Journal of physics. A, Mathematical and theoretical, 2023-08, Vol.56 (31), p.314001

Ort / Verlag

IOP Publishing

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Abstract In this paper, we revisit large variable asymptotic expansions of tronquée solutions of the Painlevé I equation, obtained via the Riemann–Hilbert approach and the method of steepest descent. The explicit construction of an extra local parametrix around the recessive stationary point of the phase function, in terms of complementary error functions, makes it possible to give detailed information about exponential-type contributions beyond the standard Poincaré expansions for tronquée and tritronquée solutions.