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The Painlevé property : one century later

Author: Robert Conte
Publisher: New York : Springer, 1999.
Series: CRM series in mathematical physics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Describes many physical phenomena, their analytic solutions, that in many cases are preferable to numerical computation, which may be long, costly and, worst, subject to numerical errors. In  Read more...

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Genre/Form: Kongress
Cargese (1999)
Additional Physical Format: Online version:
Painlevé property.
New York : Springer, 1999
(OCoLC)625017596
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robert Conte
ISBN: 0387988882 9780387988887
OCLC Number: 41452563
Description: xxvi, 810 pages : illustrations ; 25 cm.
Contents: 1. Singularities of Ordinary Linear Differential Equations and Integrability / Jean Reignier --
2. Introduction to the Theory of Isomonodromic Deformations of Linear Ordinary Differential Equations with Rational Coefficients / Gilbert Mahoux --
3. The Painleve Approach to Nonlinear Ordinary Differential Equations / Robert Conte --
4. Asymptotic Studies of the Painleve Equations / Nalini Joshi --
5. 2-D Quantum and Topological Gravities, Matrix Models, and Integrable Differential Systems / Philippe Di Francesco --
6. Painleve Transcendents in Two-Dimensional Topological Field Theory / Boris Dubrovin --
7. Discrete Painleve Equations / Basile Grammaticos, Frank W. Nijhoff and Alfred Ramani --
8. Painleve Analysis for Nonlinear Partial Differential Equations / Micheline Musette --
9. On Painleve and Darboux --
Halphen-Type Equations / Mark J. Ablowitz, Sarby Chakravarty and Rod Halburd --
10. Symmetry Reduction and Exact Solutions of Nonlinear Partial Differential Equations / Peter A. Clarkson and Pavel Winternitz --
11. Painleve Equations in Terms of Entire Functions / Jarmo Hietarinta --
12. Backlund Transformations of Painleve Equations and Their Applications / Valerii I. Gromak --
13. The Hamiltonians Associated to the Painleve Equations / Kazuo Okamoto --
14. "Completeness" of the Painleve Test --
General Considerations --
Open Problems / Martin D. Kruskal.
Series Title: CRM series in mathematical physics.
Responsibility: editor, Robert Conte.
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