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
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2015 Volume 67 Issue 3 Pages 943-978

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Abstract
A construction of general formal solutions for members (PJ)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 (PJ)m (J = II, IV).
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