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Book Cover
Author Conte, Robert, 1943-

Title The Painlevé handbook / Robert Conte, Micheline Musette
Published Dordrecht : Springer, ©2008


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)
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 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 PainlevA(c)
Bibliography Includes bibliographical references (pages 234-252) and index
Notes Print version record
Subject Painlevé equations.
Mathematical physics.
MATHEMATICS -- Numerical Analysis.
Mathematical physics.
Painlevé equations.
Mathematical physics
Painlevé equations
Form Electronic book
Author Musette, Micheline.
LC no. 2008926210
ISBN 9781402084911