ANZIAM  J.  44 (2002), 111-119
On an exact WKB approach to Ablowitz-Segur's connection problem for the second Painlevé equation

Yoshitsugu Takei
  Research Institute for Mathematical Sciences
  Kyoto University
  Kyoto 606-8502
  Japan
    takei@kurims.kyoto-u.ac.jp


Abstract
We discuss Ablowitz-Segur's connection problem for the second Painlevé equation from the viewpoint of WKB analysis of Painlevé transcendents with a large parameter. The formula they first discovered is rederived from a suitable combination of connection formulas for the first Painlevé equation.
Download the article in PDF format (size 418 Kb)

TeXAdel Scientific Publishing ©  Australian MS