Patrick Doran-Wu and Nalini Joshi 1997 J. Phys. A: Math. Gen. 30 4701 doi:10.1088/0305-4470/30/13/021
Patrick Doran-Wu and Nalini Joshi
Show affiliationsWe 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.
02.30.Hq Ordinary differential equations
02.60.Lj Ordinary and partial differential equations; boundary value problems
34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations
Issue 13 (7 July 1997)
Received 30 December 1996, in final form 28 April 1997
Patrick Doran-Wu and Nalini Joshi 1997 J. Phys. A: Math. Gen. 30 4701
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