On tronquée solutions of the first Painlevé hierarchy

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)393-399
Journal / PublicationJournal of Mathematical Analysis and Applications
Volume368
Issue number2
Publication statusPublished - Aug 2010

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-77952884013&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(af30ce9d-0964-4e5a-bfe7-b186aed803b7).html

Abstract

It is well known that, due to Boutroux, the first Painlevé equation admits solutions characterized by divergent asymptotic expansions near infinity in specified sectors of the complex plane. In this paper, we show that such solutions exist for higher order analogues of the first Painlevé equation (the first Painlevé hierarchy) as well. © 2010 Elsevier Inc.

Research Area(s)

  • Asymptotic analysis, The first Painlevé hierarchy, Tronquée solution

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Asymptotic Expansio... Mathematics
100
Solution Exists Mathematics
100
Complex Plane Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
On tronquée solutions of the first Painlevé hierarchy. / Dai, Dan; Zhang, Lun.
In: Journal of Mathematical Analysis and Applications, Vol. 368, No. 2, 08.2010, p. 393-399.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review