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The Painleve Handbook by Robert M. Conte, Micheline Musette (Hardcover, 2008)

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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 the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painleve test. If the equation under study passes the Painleve test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schroedinger equation (continuous and discrete), the Korteweg-de Vries equation, the Henon-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research.

Product Identifiers

Publisher
Springer-Verlag NY Inc.
ISBN-13
9781402084904
eBay Product ID (ePID)
95727921

Product Key Features

Author
Robert M. Conté, Micheline MUSETTE
Publication Name
The Painleve Handbook
Format
Hardcover
Language
English
Subject
Engineering & Technology, Chemistry, Mathematics, Physics
Publication Year
2008
Type
Textbook
Number of Pages
256 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
594g

Additional Product Features

Title_Author
Micheline MUSETTE, Robert M. Conté
Country/Region of Manufacture
United States

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The Painleve Handbook by Robert M. Conte, Micheline Musette (Hardcover, 2008)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in School Textbooks & Study Guides

Tracks, Scats and Other Traces: Reissue by Barbara Triggs (Paperback, 2004)

Save on School Textbooks & Study Guides

Powerless: Tiktok Made Me Buy It! an Epic and Sizzling Fantasy Romance Not

Viktor Schauberger The Water Wizard (Paperback)

Targeting Mental Maths Australian Curriculum Year 5 - New Edition 2023

Medication Log Book: Simple Personal Medication Administration Planner & Record

Bindi: Winner of the Daisy Utemorrah Award by Kirli Saunders (Paperback) FREE Sh

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