Painleve Transcendents - Their Asymptotics and Physical Applications (Paperback, Softcover reprint of the original 1st ed. 1992)

The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applications," held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re sults of new original research. The result is a volume which, though multiauthored, has the character of a monograph on a single topic. This is the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the extension of this theory to partial differential equations. For short we shall call such systems "equations with the Painleve property." The search for such equations was a very topical mathematical problem in the 19th century. Early work concentrated on first order differential equations. One of Painleve's important contributions in this field was to develop simple methods applicable to higher order equations. In particular these methods made possible a complete analysis of the equation;; = f(y', y, x), where f is a rational function of y' and y, with coefficients that are analytic in x. The fundamental result due to Painleve (Acta Math."

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	NATO Science Series B:, 278
Release date:	June 2013
First published:	1992
Editors:	Decio Levi • Pavel Winternitz
Dimensions:	235 x 155 x 24mm (L x W x T)
Format:	Paperback
Pages:	446
Edition:	Softcover reprint of the original 1st ed. 1992
ISBN-13:	978-1-4899-1160-5
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	1-4899-1160-X
Barcode:	9781489911605

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