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On an exact WKB approach to Ablowitz-Segur's connection problem for the second Painlevé equation

Published online by Cambridge University Press:  17 February 2009

Yoshitsugu Takei
Yoshitsugu Takei
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan; e-mail: takei@kurims.kyoto-u.ac.jp.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 1 , July 2002 , pp. 111 - 119
Copyright
Copyright © Australian Mathematical Society 2002

References

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