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The Painlevé handbook

Author: Robert Conte; Micheline Musette
Publisher: Dordrecht : Springer, ©2008.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether  Read more...
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Genre/Form: Electronic book
Electronic books
Additional Physical Format: Print version:
Conte, Robert, 1943-
Painlevé handbook.
Dordrecht : Springer, ©2008
(DLC) 2008926210
(OCoLC)247932371
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Robert Conte; Micheline Musette
ISBN: 9781402084911 1402084919 9781402084904 1402084900
OCLC Number: 311507109
Description: 1 online resource (xxiii, 256 pages) : illustrations
Contents: Introduction; Singularity Analysis: Painlevé Test; Integrating Ordinary Differential Equations; Partial Differential Equations: Paielevé Test; From the Test to Explicit Solutions of PDEs; Integration of Hamiltonian Systems; Discrete Nonlinear Equations; FAQ (Frequently Asked Questions).
Responsibility: Robert Conte, Micheline Musette.

Abstract:

This book covers methods of building explicit solutions to nonlinear differential equations. Finding out whether the chances of success are high or low can be achieved with a powerful algorithm  Read more...

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From the reviews:"The new monograph of the leading experts in the singularity analysis of differential equations provides a profound introduction to the Painleve property and related topics on the Read more...

 
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