The Painlevé handbook / Robert Conte, Micheline Musette.
Conte, Robert, 1943- author.; Musette, Micheline, author.
2020
QC20.7.D5
Available Online

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Title The Painlevé handbook / Robert Conte, Micheline Musette.
Author Conte, Robert, 1943- author.
Edition Second edition.
ISBN 9783030533403 (electronic book)
3030533409 (electronic book)
3030533395
9783030533397
DOI https://doi.org/10.1007/978-3-030-53340-3
Published Cham, Switzerland : Springer, [2020]
Language English
Description 1 online resource (xxxi, 389 pages) : illustrations
Item Number 10.1007/978-3-030-53340-3 doi
Call Number QC20.7.D5
Dewey Decimal Classification 518/.6
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 28, 2021).
Added Author Musette, Micheline, author.
Series Mathematical physics studies, 0921-3767
Available in Other Form Print version: 9783030533397
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1. Introduction
2. Singularity analysis: Painlevé test
3. Integrating ordinary differential equations
4. Partial Differential Equations: Painlevé test
5. From the test to explicit solutions of PDEs
6. Integration of Hamiltonian Systems
7. Discrete nonlinear equations
8. FAQ (Frequently asked questions)
9. Selected Problems Integrated by Painlevé functions. A. The classical results of Painlevé and followers. B. More on the Painlevé transcendents. C. Brief presentation of the elliptic functions. D. Basic introduction to the Nevanlinna theory. E. The bilinear formalism. F. Algorithm for computing the Laurent series. Index.

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