東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

The Painleve handbook

Conte, Robert.

Linked to FindBook

Google Book

Amazon

博客來

The Painleve handbook

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Painleve handbook/ by Robert Conte, Micheline Musette.
Author:	Conte, Robert.
other author:	Musette, Micheline.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xxxi, 389 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1. Introduction -- 2. Singularity analysis: Painleve test -- 3. Integrating ordinary differential equations -- 4. Partial Differential Equations: Painleve 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 Painleve functions. A. The classical results of Painleve and followers. B. More on the Painleve 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.
Contained By:	Springer Nature eBook
Subject:	Painleve equations. -
Online resource:	https://doi.org/10.1007/978-3-030-53340-3
ISBN:	9783030533403

The Painleve handbook
Conte, Robert.

The Painleve handbook[electronic resource] /by Robert Conte, Micheline Musette. - Second edition. - Cham :Springer International Publishing :2020. - xxxi, 389 p. :ill. (some col.), digital ;24 cm. - Mathematical physics studies,0921-3767. - Mathematical physics studies..

1. Introduction -- 2. Singularity analysis: Painleve test -- 3. Integrating ordinary differential equations -- 4. Partial Differential Equations: Painleve 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 Painleve functions. A. The classical results of Painleve and followers. B. More on the Painleve 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.

This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painleve test and shows how Painleve analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrodinger equation, the Korteweg-de Vries equation, Henon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painleve function; and an overview of new results since the book's original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.

ISBN: 9783030533403

Standard No.: 10.1007/978-3-030-53340-3doiSubjects--Topical Terms:

722564
Painleve equations.

LC Class. No.: QC20.7.D5 / C668 2020

Dewey Class. No.: 518.6

The Painleve handbook
LDR:02900nmm a2200349 a 4500 001 2257289
003 DE-He213
005 20210312131636.0
006 m d
007 cr nn 008maaau
008 220420s2020 sz s 0 eng d
020 $a 9783030533403 $q (electronic bk.)
020 $a 9783030533397 $q (paper)
024 7 $a 10.1007/978-3-030-53340-3 $2 doi
035 $a 978-3-030-53340-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.D5 $b C668 2020
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 518.6 $2 23
090 $a QC20.7.D5 $b C761 2020
100 1 $a Conte, Robert. $3 927978
245 1 4 $a The Painleve handbook $h [electronic resource] / $c by Robert Conte, Micheline Musette.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xxxi, 389 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 0921-3767
505 0 $a 1. Introduction -- 2. Singularity analysis: Painleve test -- 3. Integrating ordinary differential equations -- 4. Partial Differential Equations: Painleve 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 Painleve functions. A. The classical results of Painleve and followers. B. More on the Painleve 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.
520 $a This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painleve test and shows how Painleve analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrodinger equation, the Korteweg-de Vries equation, Henon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painleve function; and an overview of new results since the book's original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.
650 0 $a Painleve equations. $3 722564
650 0 $a Mathematical physics. $3 516853
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Dynamics. $3 519830
650 0 $a Ergodic theory. $3 555691
650 0 $a Engineering mathematics. $3 516847
650 0 $a Chemometrics. $3 813967
650 1 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Mathematical and Computational Engineering. $3 3226306
650 2 4 $a Math. Applications in Chemistry. $3 890896
700 1 $a Musette, Micheline. $3 927977
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Mathematical physics studies. $3 2072974
856 4 0 $u https://doi.org/10.1007/978-3-030-53340-3
950 $a Physics and Astronomy (SpringerNature-11651)