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The Painlevé Property

One Century Later

  • Book
  • © 1999

Overview

Editors:
  1. Robert Conte

    1. Service de Physique de l’etat Condensé, CEA Saclay, Gif-sur-Yvette Cedex, France

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Part of the book series: CRM Series in Mathematical Physics (CRM)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxvi
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  2. Singularities of Ordinary Linear Differential Equations and Integrability

    • Jean Reignier
    Pages 1-33

  3. Introduction to the Theory of Isomonodromic Deformations of Linear Ordinary Differential Equations with Rational Coefficients

    • Gilbert Mahoux
    Pages 35-76

  4. The Painlevé Approach to Nonlinear Ordinary Differential Equations

    • Robert Conte
    Pages 77-180

  5. Asymptotic Studies of the Painlevé Equations

    • Nalini Joshi
    Pages 181-227

  6. 2-D Quantum and Topological Gravities, Matrix Models, and Integrable Differential Systems

    • Philippe Di Francesco
    Pages 229-285

  7. Painlevé Transcendents in Two-Dimensional Topological Field Theory

    • Boris Dubrovin
    Pages 287-412

  8. Discrete Painlevé Equations

    • Basile Grammaticos, Frank W. Nijhoff, Alfred Ramani
    Pages 413-516

  9. Painlevé Analysis for Nonlinear Partial Differential Equations

    • Micheline Musette
    Pages 517-572

  10. On Painlevé and Darboux-Halphen-Type Equations

    • Mark J. Ablowitz, Sarby Chakravarty, Rod Halburd
    Pages 573-589

  11. Symmetry Reduction and Exact Solutions of Nonlinear Partial Differential Equations

    • Peter A. Clarkson, Pavel Winternitz
    Pages 591-660

  12. Painlevé Equations in Terms of Entire Functions

    • Jarmo Hietarinta
    Pages 661-686

  13. Bäcklund Transformations of Painlevé Equations and Their Applications

    • Valerii I. Gromak
    Pages 687-734

  14. The Hamiltonians Associated to the Painlevé Equations

    • Kazuo Okamoto
    Pages 735-787

  15. “Completeness” of the Painlevé Test—General Considerations—Open Problems

    • Martin D. Kruskal
    Pages 789-804

  16. Back Matter

    Pages 805-810
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Keywords

Editors and Affiliations

  • Service de Physique de l’etat Condensé, CEA Saclay, Gif-sur-Yvette Cedex, France

    Robert Conte

Bibliographic Information

  • Book Title: The Painlevé Property

  • Book Subtitle: One Century Later

  • Editors: Robert Conte

  • Series Title: CRM Series in Mathematical Physics

  • DOI: https://doi.org/10.1007/978-1-4612-1532-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1999

  • Hardcover ISBN: 978-0-387-98888-7Published: 29 September 1999

  • Softcover ISBN: 978-1-4612-7181-9Published: 06 November 2012

  • eBook ISBN: 978-1-4612-1532-5Published: 06 December 2012

  • Series ISSN: 2627-7654

  • Series E-ISSN: 2627-7662

  • Edition Number: 1

  • Number of Pages: XXVI, 810

  • Topics: Theoretical, Mathematical and Computational Physics, Applications of Mathematics

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