On the connection formulas of the third Painlevé transcendent

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

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Author(s)

  • R. Wong
  • H. Y. Zhang

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)541-560
Journal / PublicationDiscrete and Continuous Dynamical Systems
Volume23
Issue number1-2
Publication statusPublished - Jan 2009

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-60949107426&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(3dc02163-e45a-4a8b-adfb-c3fcbb9dc995).html

Abstract

We consider the connection problem for the sine-Gordon PIII equation (Equation Presented) which is the most commonly studied case among all general third Painlevé transcendents. The connection formulas are derived by the method of "uniform asymptotics" proposed by Bassom, Clarkson, Law and McLeod (Arch. Rat. Mech. Anal., 1998).

Research Area(s)

  • Bessel functions, Connection formulas, Parabolic cylinder functions, sine-Gordon PIII equation, The third Painlevé transcendent (PIII), Uniform asymptotics

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Publication fingerprints text

100
Connection Formulas Keyphrases
100
connections INIS
100
Asymptotics Mathematics
66
equations INIS
50
Law Keyphrases
50
Uniform Asymptotics Keyphrases
50
Connection Problem Keyphrases
50
Sine-Gordon Keyphrases
33
asymptotic solution... INIS
33
rats INIS
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Citation Format(s)

[ RIS ] [ BibTeX ]
On the connection formulas of the third Painlevé transcendent. / Wong, R.; Zhang, H. Y.
In: Discrete and Continuous Dynamical Systems, Vol. 23, No. 1-2, 01.2009, p. 541-560.

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