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Direct asymptotic analysis of the second Painlevé equation: three different limits

Patrick Doran-Wu and Nalini Joshi

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We present three different asymptotic studies of the second Painlevé equation involving , or unbounded initial data. We show how the direct method, which is in the spirit of Boutroux, can be naturally applied to each of the three cases.


PACS

02.30.Hq Ordinary differential equations

02.60.Lj Ordinary and partial differential equations; boundary value problems

MSC

33E17 Painlevé-type functions

34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations

Subjects

Mathematical physics

Computational physics

Dates

Issue 13 (7 July 1997)

Received 30 December 1996, in final form 28 April 1997



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