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

Author:

Deaño AlfredoORCID

Abstract

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.

Funder

Isaac Newton Institute for Mathematical Sciences

Agencia Estatal de Investigación

Regional Programme of Research and Technological Innovation

Universidad de Alcalá

Universidad Carlos III de Madrid

EPSRC

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Preface to resurgent asymptotics, Painlevé equations and quantum field theory focus issue;Journal of Physics A: Mathematical and Theoretical;2024-02-01

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