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Resurgent Structure For The First Painlevé Equation

  • Eric Delabaere
Chapter
  • 798 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 2155)

Abstract

We show the resurgence property for the formal series solution of the prepared form associated with the first Painlevé equation. The detailed resurgent structure is given in Sect. 8.1. Its proof is given using the so-called bridge equation (Sect. 8.4), after some preliminaries (Sect. 8.3). The nonlinear Stokes phenomena are briefly analyzed in Sect. 8.2.

Keywords

Formal Series Differential Algebra Stokes Phenomenon Exponential Asymptotics Toulouse Math 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Eric Delabaere
    • 1
  1. 1.Département de MathématiquesUniversité d’AngersAngersFrance

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