5 edition of **Painlevé Transcendents: Their Asymptotics and Physical Applications (NATO Science Series: B:)** found in the catalog.

- 260 Want to read
- 11 Currently reading

Published
**June 30, 1992**
by Springer
.

Written in English

- Mathematics for scientists & engineers,
- Theoretical methods,
- Science,
- Science/Mathematics,
- Science / Mathematical Physics,
- Asymptotic theory,
- Congresses,
- Mathematical Physics,
- Painleve equations,
- Painlevâe equations

**Edition Notes**

Contributions | Decio Levi (Editor), Pavel Winternitz (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 472 |

ID Numbers | |

Open Library | OL10324493M |

ISBN 10 | 0306440504 |

ISBN 10 | 9780306440502 |

Fu, Wei and Nijhoff, Frank W. Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. , Issue. , p. Cited by: Kitaev, “Turning points of linear, systems and double asymptotics of the Painlevé transcendents,” in: Painlevé Transcendents Their Asymptotics and Physical Applications, edited by D. Levi and P. Winternitz, NATO ASI Series B: Physics Vol. (Plenum, New York, ), pp. 81–Cited by:

The six Painlevé equations (P I –P VI) were first discovered about a hundred years ago by Painlevé and his colleagues in an investigation of nonlinear second-order ordinary differential ly, there has been considerable interest in the Painlevé equations primarily due to the fact that they arise as reductions of the soliton equations which are solvable by inverse Cited by: Abstract. The necessary and sufficient conditions that an equation of the form y ″= f (x, y, y ′) can be reduced to one of the Painlevé equations under a general point transformation are obtained. A procedure to check these conditions is found. The theory of invariants plays a leading role in this by:

American Mathematical Society Charles Street Providence, Rhode Island or AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S. Patent and Trademark. Asymptotics of the Painleve Equations´ Peter A Clarkson Institute of Mathematics, Statistics and Actuarial Science University of Kent, Canterbury, CT2 7NF, UK [email protected] AMS-SIAM Special Session “Asymptotic Methods in Analysis with Applications” Joint Mathematical Meetings, San Diego, January File Size: 1MB.

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One of Painleve's important contributions in this field was to develop simple methods applicable to higher order equations.

In particular these methods made possible a complete analysis of the equation ;; = f (y',y,x), where f is a rational function of y' and y. One of Painleve's important contributions in this field was to develop simple methods applicable to higher order equations.

In particular these methods made possible a complete analysis of the equation ;; = f(y',y,x), where f is a rational function of y'. 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,brought together a group of experts to Book Edition: Softcover Reprint of The Original 1st Ed.

ISBN: OCLC Number: Notes: "Published in cooperation with NATO Scientific Affairs Division." "Proceedings of a NATO Advanced Research Workshop on Painlevé Transcendents: Their Asymptotics and Physical Applications, held September, in Sainte-Adèle, Québec, Canada"--Title page verso.

Painleve Transcendents: Their Asymptotics and Physical Applications.; (NATO ASI Series B: Physics, Volume ) NY: Plenum Press, Hardcover. As new. Painlevé Transcendents: Their Asymptotics and Physical Applications Decio Levi, Pavel Winternitz (eds.) 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,brought together a group of experts to discuss the topic and produce.

This item: Painleve Transcendents: The Riemann-hilbert Approach (Mathematical Surveys and Monographs) Set up a giveaway. Get fast, free delivery with Amazon Prime. Prime members enjoy FREE Two-Day Delivery and exclusive access to music, movies, TV shows, original audio series, and Kindle by: About this book Introduction 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,brought together a group of experts to discuss the topic and produce this volume.

In addition, the book contains an ample collection of material concerning the asymptotics of the Painlevé functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painlevé.

The NATO Advanced Research Workshop "e;Painleve Transcendents, their Asymp- totics and Physical Applications"e;, held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7,brought together a group of experts to. Painleve Transcendents: The Riemann-Hilbert Approach Mathematical Surveys and Monographs: : Athanassios S.

Fokas, Alexander R. Its, Andrei A. Kapaev, Victor Format: Tapa dura. ISBN: OCLC Number: Description: 1 online resource ( pages.) Contents: 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.

In addition, the book contains an ample collection of material concerning the asymptotics of the Painleve functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painleve equations and related areas. 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,brought together a group of experts to discuss the topic and produce this volume.

There were 41 participants from 14 countries and 27 lectures were presented, all included in this. Using the method of "uniform asymptotics" proposed by Bassom, Clarkson, Law and McLeod [3], we provide a simpler and more rigorous proof of the connection formulas of the Clarkson–McLeod solution for the fourth Painlevé transcendent, which has been established earlier by Its and Kapaev [11] via the isomonodromy and Riemann–Hilbert by: Painleve transcendents.

Specifically, we will study the connection problem for the Painleve transcendents, i.e., the problem of finding explicit formulae relating the relevant asymptotic parameters at different critical points.

In more detail we will present: (i) A complete description of all types of possible asymptotic behavior of the. The main aim of this chapter is to explain direct and natural rigorous methods for carrying out local and some global asymptotic studies near fixed and Painlevé functions, Painlevé transcendents, their asymptotics and physical applications, eds.

Levi and P Painlevé Transcendents, Their Asymptotics and Physical Cited by: 4. Buy Painleve Transcendents: The Riemann-Hilbert Approach (Mathematical Surveys & Monographs) (Mathematical Surveys and Monographs) by Fokas, Athanassios S., Its, Alexander R., Kapaev, Andrei A., Novokshenov, Victor Yu.

(ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. Find many great new & used options and get the best deals for Nato Science Series B: Painlevé Transcendents: Their Asymptotics and Physical Applications (, Hardcover) at the best online prices at eBay.

Free shipping for many products. 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,brought Author: Willy Hereman. Although first discovered from strictly mathematical considerations, the Painleve equations have arisen in a variety of important physical applications including statistical mechanics, random Author: Andrei Martínez-Finkelshtein.Abstract.

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,brought together a group of experts to Author: Decio Levi and Pavel Winternitz.Hietarinta and M.

Kruskal, Hirota forms for the six Painlevé equations from singularity analysis, in Painlevé Transcendents, Their Asymptotics and Physical Applications, eds. P. WinternitzD. Levi (Plenum, ), pp. –Cited by: 1.