Instanton-type formal solutions to the second Painlevé equations with a large parameter

Takashi Aoki
Additional contact information
Takashi Aoki: Kinki University, Department of Mathematics and Physics

A chapter in New Trends in Microlocal Analysis, 1997, pp 103-112 from Springer

Abstract: Abstract The purpose of this article is to give some calculation concerned with a part of the paper [AKT3]. In the paper, we have constructed families of formal solutions having two arbitrary constants to the Painlevé equations with a large parameter and discussed formal reduction of the second Painlevé equations to the first Painlevé equation (with a large parameter). First few terms of the formal solutions are given in the appendix of the paper for the cases of the first and the second Painlevé equations, but detailed calculation has not been given there. Thus, we present here the construction of formal solutions to the second Painlevé equations in detail. For the first Painlevé case, see [A].

Date: 1997
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-68413-8_7

Ordering information: This item can be ordered from
http://www.springer.com/9784431684138

DOI: 10.1007/978-4-431-68413-8_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().