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# đ PainlevĂ© Transcendents: Their Asymptotics and Physical Applications by P. A. Clarkson, J. B. McLeod (auth.), Decio Levi, Pavel Winternitz (eds.) â pdf free

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The NATO Advanced Research Workshop "Painleve Transcendents, their AsympÂ totics and Physical Applications", held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, 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 volume. The speakers presented reviews of topics to which they themselves have made important contributions and also reÂ sults of new original research. The result is a volume which, though multiauthored, has the character of a monograph on a single topic. This is the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the extension of this theory to partial differential equations. For short we shall call such systems "equations with the Painleve property". The search for such equations was a very topical mathematical problem in the 19th century. Early work concentrated on first order differential equations. 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, with coefficients that are analytic in x. The fundamental result due to Painleve (Acta Math.

- Series:
**NATO ASI Series 278** - Author:
**P. A. Clarkson, J. B. McLeod (auth.), Decio Levi, Pavel Winternitz (eds.)** - Year:
**1992** - Publisher:
**Springer US** - Language:
**English** - ISBN:
**978-1-4899-1160-5,978-1-4899-1158-2**

- File size:
**16 906 572** - Format:
**pdf**

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At the turn of the twentieth century, the French mathematician Paul PainlevĂÂ© and his students classified second order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of t...

One of the mathematical challenges of modern physics lies in the development of new tools to efficiently describe different branches of physics within one mathematical framework. This text introduces precisely such a broad mathematical model, one that giv...

The last decade has seen a rapid development and growing importance in the application of nuclear physics methods to material sciences. It is a general desire to understand modern material problems on a microscopic scale, which, due to their inherent micr...

This book is the first comprehensive treatment of PainlevĂ© differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed expositi...

Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as...

Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as...

Mathematical methods are essential tools for all physical scientists. This second edition provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students in this area. In contrast to more traditional textbooks, all ...

In recent years, the area dealing with the physical chemistry of materials has become an emerging discipline in materials science that emphasizes the study of materials for chemical, sustainable energy, and pollution abatement applications. Written by an ...

Computational chemistry methods have become increasingly important in recent years, as manifested by their rapidly extending applications in a large number of diverse fields. The ever-increasing size of the systems one wants to study leads to the developm...