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|a 978-1-4020-8490-4
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|a Conte, Robert,
|d 1943-
|1 https://id.oclc.org/worldcat/entity/E39PCjB9D4YgxbF7hMbjMc3WQm
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245 |
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|a The Painlevé handbook /
|c Robert Conte, Micheline Musette.
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260 |
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|a Dordrecht :
|b Springer,
|c ©2008.
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|a 1 online resource (xxiii, 256 pages) :
|b illustrations
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|a text
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|a Includes bibliographical references (pages 234-252) and index.
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520 |
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|a 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).
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|a Print version record.
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|a 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).
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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|a Painlevé equations.
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650 |
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|a Mathematical physics.
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650 |
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|a Équations de Painlevé.
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|a Physique mathématique.
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|a MATHEMATICS
|x Numerical Analysis.
|2 bisacsh
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|a Mathematical physics.
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|a Painlevé equations.
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|a Musette, Micheline.
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|i has work:
|a The Painlevé Handbook (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFXkkT8hWrpHwQGwqBJfYP
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|i Print version:
|a Conte, Robert, 1943-
|t Painlevé handbook.
|d Dordrecht : Springer, ©2008
|z 9781402084904
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