Instanton-type formal solutions for the first Painlevé hierarchy

Yoshitsugu Takei ()
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Yoshitsugu Takei: Kyoto University, Research Institute for Mathematical Sciences

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 307-319 from Springer

Abstract: Abstract Instanton-type formal solutions, which will play an important role in the description of Stokes phenomena, are discussed for the first Painlevé hierarchy. We construct instanton-type solutions by using singular-perturbative reduction of a Hamiltonian system to its Birkhoff normal form. The construction of singularperturbative reduction to the Birkhoff normal form is also outlined.

Keywords: Painlevé hierarchy; Instanton-type solutions; Hamiltonian system; Birkhoff normal form (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_25

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DOI: 10.1007/978-4-431-73240-2_25

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