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 (reactiondiffusion 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 234252) and index 
Notes 
Print version record 
Subject 
Painlevé equations.


Mathematical physics.


MATHEMATICS  Numerical Analysis.


Mathematical physics.


Painlevé equations.


Physique.


Mathematical physics


Painlevé equations

Form 
Electronic book

Author 
Musette, Micheline.

LC no. 
2008926210 
ISBN 
9781402084911 

1402084919 

9781402084904 

1402084900 
