Theories Asymptotiques et Equations de Painleve |
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Editor:
| Delabaere, Eric Loday-Richaud, Michèle |
Series title: | Seminaires et Congres Ser. |
ISBN: | 978-2-85629-229-7 |
Publication Date: | Jul 2007 |
Publisher: | Societe Mathematique de France
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Book Format: | Paperback |
List Price: | USD $110.00 |
Book Description:
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The major part of this volume is devoted to the study of the sixth Painleve equation through a variety of approaches, namely elliptic representation, the classification of algebraic solutions and so-called ``dessins d'enfants'' deformations, affine Weyl group symmetries and dynamics using the techniques of Riemann-Hilbert theory and those of algebraic geometry. Discrete Painleve equations and higher order equations, including the mKdV hierarchy and its Lax pair and a WKB analysis of...
More DescriptionThe major part of this volume is devoted to the study of the sixth Painleve equation through a variety of approaches, namely elliptic representation, the classification of algebraic solutions and so-called ``dessins d'enfants'' deformations, affine Weyl group symmetries and dynamics using the techniques of Riemann-Hilbert theory and those of algebraic geometry. Discrete Painleve equations and higher order equations, including the mKdV hierarchy and its Lax pair and a WKB analysis of perturbed Noumi-Yamada systems, are given a place of study, as well as theoretical settings in Galois theory for linear and non-linear differential equations, difference and $q$-difference equations with applications to Painleve equations and to integrability or non-integrability of certain Hamiltonian systems.