Citation
P. Doranwu et N. Joshi, DIRECT ASYMPTOTIC ANALYSIS OF THE 2ND PAINLEVE-EQUATION - 3 DIFFERENTLIMITS, Journal of physics. A, mathematical and general, 30(13), 1997, pp. 4701-4708
Citations number
24
Categorie Soggetti
Physics
Journal title
ISSN journal
03054470
Volume
30
Issue
13
Year of publication
1997
Pages
4701 - 4708
Database
ISI
SICI code
0305-4470(1997)30:13<4701:DAAOT2>2.0.ZU;2-4
Abstract
We present three different asymptotic studies of the second Painleve e
quation y(n) = 2y(3) + xy + alpha involving \x\ --> infinity, \alpha\
--> infinity 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.