Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
General formal solutions for a unified family of 𝑃J-hierarchies (J=I, II, IV, 34)
Yoko Umeta
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Keywords: the exact WKB analysis, Painlevé hierarchy, instanton-type solutions
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2019 Volume 71 Issue 3 Pages 979-1003

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Abstract

A unified family of 𝑃J-hierarchies (J=I, II, IV, 34) with a large parameter is introduced and we construct general formal solutions which are called instanton-type solutions for the system.

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