On the connection formulas of the third Painlevé transcendent

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

  • R. Wong
  • H. Y. Zhang

Detail(s)

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

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

Citation Format(s)