Open Access
July, 2015 Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter
Yoko UMETA
J. Math. Soc. Japan 67(3): 943-978 (July, 2015). DOI: 10.2969/jmsj/06730943

Abstract

A construction of general formal solutions for members $(P_{\mathrm{J}})_{m}$ $({\rm J = II,\,IV})$ of the second and the fourth Painlevé hierarchies with a large parameter is discussed. We also investigate a relation between formal solutions of $(P_{\mathrm{J}})_{m}$ $({\rm J = II,\,IV})$.

Citation

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Yoko UMETA. "Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter." J. Math. Soc. Japan 67 (3) 943 - 978, July, 2015. https://doi.org/10.2969/jmsj/06730943

Information

Published: July, 2015
First available in Project Euclid: 5 August 2015

zbMATH: 1338.34168
MathSciNet: MR3376574
Digital Object Identifier: 10.2969/jmsj/06730943

Subjects:
Primary: 34E20
Secondary: 34M25 , 34M55

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

Rights: Copyright © 2015 Mathematical Society of Japan

Vol.67 • No. 3 • July, 2015
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