Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter

Yoko Umeta

doi:10.2969/jmsj/06730943

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter

Yoko Umeta

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Keywords: the exact WKB analysis, Painlevé hierarchy, instanton-type solutions

JOURNAL FREE ACCESS

2015 Volume 67 Issue 3 Pages 943-978

DOI https://doi.org/10.2969/jmsj/06730943

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Abstract

A construction of general formal solutions for members (P_J)_m (J = II, IV) of the second and the fourth Painlevé hierarchies with a large parameter is discussed. We also investigate a relation between formal solutions of (P_J)_m (J = II, IV).

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