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Painlevé Transcendents - Decio Levi; Pavel Winternitz
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The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp­ totics and Physical Applications", held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, … Plus…

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Decio Levi; Pavel Winternitz:

Painlevé Transcendents - nouveau livre

ISBN: 9781489911582

The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp­ totics and Physical Applications", held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, b… Plus…

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Painleve Transcendents - nouveau livre

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ISBN: 9781489911582

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Painleve Transcendents - nouveau livre

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Painleve Transcendents - nouveau livre

2013, ISBN: 9781489911582

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EAN (ISBN-13): 9781489911582
Date de parution: 2013
Editeur: Springer US

Livre dans la base de données depuis 2017-01-28T00:50:13+01:00 (Paris)
Page de détail modifiée en dernier sur 2023-08-01T20:36:16+02:00 (Paris)
ISBN/EAN: 9781489911582

ISBN - Autres types d'écriture:
978-1-4899-1158-2
Autres types d'écriture et termes associés:
Auteur du livre: winternitz, levi


Données de l'éditeur

Auteur: Decio Levi; Pavel Winternitz
Titre: NATO Science Series: B; Painlevé Transcendents - Physics (Continued Within NATO Science Series II: Mathematics, Physics and Chemistry); Their Asymptotics and Physical Applications
Editeur: Springer; Springer US
446 Pages
Date de parution: 2013-11-11
New York; NY; US
Langue: Anglais
213,99 € (DE)
220,00 € (AT)
236,00 CHF (CH)
Available
XXVI, 446 p.

EA; E107; eBook; Nonbooks, PBS / Physik, Astronomie/Allgemeines, Lexika; Mathematische Physik; Verstehen; 19th century; differential equation; geometry; mechanics; ordinary differential equation; partial differential equation; spin; statistical mechanics; symmetry; B; Theoretical, Mathematical and Computational Physics; Theoretical, Mathematical and Computational Physics; Physics and Astronomy; BB

I: Asymptotics of Painlevé Transcendents, Connection Formulas, New Mathematical Features.- Integral Equations and Connection Formulae for the Painlevé Equations.- Continuous and Discrete Painlevé Equations.- The Painlevé Transcendents as Nonlinear Special Functions.- Connection Results for the First Painlevé Equation.- Turning Points of Linear Systems and Double Asymptotics of the Painlevé Transcendents.- On the Linearization of the Third Painlevé Equation.- II: Painlevé Analysis and Integrability.- Differential Equations with Fixed Critical Points.- Unification of PDE and ODE Versions of Painlevé Analysis into a Single Invariant Version.- Painlevé Integrability: Theorems and Conjectures.- Riemann Double Waves, Darboux Method and the Painlevé Property.- Hirota Forms for the Six Painlevé Equations from Singularity Analysis.- Flexibility in Applying the Painlevé Test.- Insertion of the Darboux Transformation in the Invariant Painlevé Analysis of Nonlinear Partial Differential Equations.- Symmetries and Painlevé Property of Equations in the Burger’s Family.- The Singular Manifold Method.- III: Classification, Symmetries, Geometry, and Painlevé Equations.- Painlevé Balances and Dressing Transformations.- The Painlevé Classification of Partial Differential Equations.- Differential Invariants, Double Fibrations and Painlevé Equations.- The Painlevé Equations and the Dynkin Diagrams.- Singularities and Symmetries of Nonlinear Evolution Equations.- IV: Applications.- On Reductions of Self-Dual Yang-Mills Equations.- The Asymptotic Solution of the Stimulated Raman-Scattering Equation.- Symmetry Reduction for the Stimulated Raman Scattering Equations and the Asymptotics of Painlevé V via the Boutroux Transformation.- Stimulated Raman Scattering in the Transient Limit.- Spin Systems, Statistical Mechanics and Painlevé Functions.- Integrability of Chern-Simons-Higgs Vortex Equations and a Reduction of the Self-Dual Yang-Mills Equations to Three Dimensions.- Some Isomonodromy Problems in Hyperbolic Space.- Physical Applications of Painlevé Type Equations Quadratic in the Highest Derivatives.- Participants.- Author Index.

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