| 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.
|
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Mathematical physics.
|
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Painlevé equations.
|
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Physique.
|
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Mathematical physics
|
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Painlevé equations
|
| Form |
Electronic book
|
| Author |
Musette, Micheline.
|
| LC no. |
2008926210 |
| ISBN |
9781402084911 |
|
1402084919 |
|
9781402084904 |
|
1402084900 |
|
