Application of uniform asymptotics to the fifth Painlevé transcendant

We apply the uniform asymptotics method to the fifth Painlevé transcendants, find its asymptotics of the form y=−1+t−1/2A(t) as t→∞ along the positive t-axis, and obtain the corresponding monodromy data.

Bibliographic Details
Main Authors: Youmin Lu, Zhoude Shao
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202108222