Painleve Equations And Related Topics

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Painlevé Equations and Related Topics

Painlevé Equations and Related Topics
Author :
Publisher : Walter de Gruyter
Total Pages : 288
Release :
ISBN-10 : 9783110275667
ISBN-13 : 311027566X
Rating : 4/5 (66X Downloads)

Book Synopsis Painlevé Equations and Related Topics by : Alexander D. Bruno

Download or read book Painlevé Equations and Related Topics written by Alexander D. Bruno and published by Walter de Gruyter. This book was released on 2012-08-31 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The survey articles discuss the following topics: General ordinary differential equations Painlevé equations and their generalizations Painlevé property Discrete Painlevé equations Properties of solutions of all mentioned above equations: – Asymptotic forms and asymptotic expansions – Connections of asymptotic forms of a solution near different points – Convergency and asymptotic character of a formal solution – New types of asymptotic forms and asymptotic expansions – Riemann-Hilbert problems – Isomonodromic deformations of linear systems – Symmetries and transformations of solutions – Algebraic solutions Reductions of PDE to Painlevé equations and their generalizations Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations Applications of the equations and the solutions


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