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An introduction to WKB analysis IV

Mercredi, 24 Novembre, 2010 - 11:00
Prénom de l'orateur: 
Nom de l'orateur: 
Résumé : 
In this talk, we will consider the first Painlevé hierarchy
which is a family of systems that are extensions of
the traditional first Painlevé equation to higher-order ones. We will discuss the construction of formal
solutions with 2m free parameters (instanton-type solutions) for the first Painlevé hierarchy. The main tool for the construction is the multiple-scale analysis.

We remark some problems related our method.
This is a joint work with Takashi Aoki and Naofumi Honda.

Thème du groupe de travail: 
GT Analyse WKB et D-modules
Institut Fourier/Hokkaido University,
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