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The Painlevé property : one century later /

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The subject this volume is explicit integration, that is, the analytical as opposed to the numerical solution, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). Such equations describe many physical phenomena, their analytic solutions...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Conte, Robert, 1943-
Format: eBook
Language:English
Published: New York : Springer, 1999.
Series:CRM series in mathematical physics.
Subjects:
Painlevé equations.
Mathematical physics.
Painlevé, Équations de.
Physique mathématique.
Analytische Lösung.
Kongress.
Nichtlineare Differentialgleichung.
Painlevé-Test.
Electronic books.
Cargese (1999)
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Singularities of Ordinary Linear Differential Equations
  • Introduction to the Theory of Isomonodronic Deformations
  • Painlev Approach to Nonlinear Ordinary Differential Equations
  • Asymptotic Studies of the Painlev Equations
  • 2D Quantum and Topological Gravities
  • Painlev Transcendents in Two Dimensional Topological Field
  • Discrete Painlev Equations
  • Painlev Analysis for Partial Differential Equations
  • On Painlev and Darboux Halpen Type Equations
  • Symmetry Reduction and Exact Solutions
  • Painlev Equations in Terms of Entire Functions
  • Backlund Transformations of Painlev Equations
  • The Hamiltonians Associated to Painleve Equations
  • Completeness of the Painlev Test.