On Boutroux's tritronquée solutions of the first Painlevé equation

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DC Field	Value	Language
dc.contributor.author	Joshi, N.	en
dc.contributor.author	Kitaev, A. V.	en
dc.date.issued	2001	en
dc.identifier.citation	Studies in Applied Mathematics, 2001; 107(3):253-291	en
dc.identifier.issn	0022-2526	en
dc.identifier.uri	http://hdl.handle.net/2440/3762	-
dc.description.abstract	The triply truncated solutions of the first Painlevé equation were specified by Boutroux in his famous paper of 1913 as those having no poles (of large modulus) except in one sector of angle 2π/5. There are five such solutions and each of them can be obtained from any other one by applying a certain symmetry transformation. One of these solutions is real on the real axis. We found a characteristic property of this solution, different from the asymptotic description given by Boutroux. This allows us to estimate numerically the position of its real pole and zero closest to the origin. We also study properties of asymptotic series for truncated solutions.	en
dc.language.iso	en	en
dc.publisher	John Wiley & Sons	en
dc.rights	© 2001 Massachusetts Institute of Technology	en
dc.title	On Boutroux's tritronquée solutions of the first Painlevé equation	en
dc.title.alternative	On Boutroux's tritronquee solutions of the first Painleve equation	en
dc.type	Journal article	en
dc.identifier.doi	10.1111/1467-9590.00187	en
Appears in Collections:	Pure Mathematics publications

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