Exact WKB analysis for the degenerate third Painlevé equation of type $(D_8)$

Hideaki Wakako; Yoshitsugu Takei

doi:10.3792/pjaa.83.63

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May 2007 Exact WKB analysis for the degenerate third Painlevé equation of type $(D_8)$

Hideaki Wakako, Yoshitsugu Takei

Proc. Japan Acad. Ser. A Math. Sci. 83(5): 63-68 (May 2007). DOI: 10.3792/pjaa.83.63

Abstract

Exact WKB analysis for instanton-type solutions of the degenerate third Painlevé equation of type $(D_8)$ is discussed. Explicit connection formulas are obtained through computations of the monodromy data of the underlying linear equations.

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Hideaki Wakako. Yoshitsugu Takei. "Exact WKB analysis for the degenerate third Painlevé equation of type $(D_8)$." Proc. Japan Acad. Ser. A Math. Sci. 83 (5) 63 - 68, May 2007. https://doi.org/10.3792/pjaa.83.63