IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-4-431-68413-8_7.html
   My bibliography  Save this book chapter

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

In: New Trends in Microlocal Analysis

Author

Listed:
  • Takashi Aoki

    (Kinki University, Department of Mathematics and Physics)

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].

Suggested Citation

  • Takashi Aoki, 1997. "Instanton-type formal solutions to the second Painlevé equations with a large parameter," Springer Books, in: Jean-Michel Bony & Mitsuo Morimoto (ed.), New Trends in Microlocal Analysis, pages 103-112, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-68413-8_7
    DOI: 10.1007/978-4-431-68413-8_7
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-4-431-68413-8_7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.