The Painlevé Property: One Century Later

Author:   Robert Conte
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
ISBN:  

9781461271819


Pages:   810
Publication Date:   06 November 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Painlevé Property: One Century Later


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Overview

"The Centre de recherches mathCmatiques (CRM) was created in 1968 by the Universite de Montreal to promote research in the mathematical sci- ences. It is now a national institute that hosts several groups, holds special theme years, summer schools, workshops, postdoctoral program. The focus of its scientific activities ranges from pure to applied mathematics, and includes satistics, theoretical computer science, mathematical methods in biology and life sciences, and mathematical and theoretical physics. The CRM also promotes collaboration between mathematicians and industry. It is subsidized by the Natural Sciences and Engineering Research Council of Canada, the Fonds FCAR od the Province of Quebec, the Canadian Institute for Advanced Research and has private endowments. Current ac- tivities, fellowships, and annual reports can be found on the CRM web page at http://www . CRM. UMontreal. CAl. The CRM Series in Mathematical Physics will publish monographs, lec- ture notes, and proceedings base on research pursued and events held at the Centre de recherches mathematiques. Yvan Saint-Aubin Montreal Preface The subject of this three-week school was the explicit integration, that is, analytical as opposed to numerical, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). The result of such integration is ideally the ""general solution,"" but there are numerous physical systems for which only a particular solution is accessible, for instance the solitary wave of the equation of Kuramoto and Sivashinsky in turbulence."

Full Product Details

Author:   Robert Conte
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
Weight:   1.329kg
ISBN:  

9781461271819


ISBN 10:   1461271819
Pages:   810
Publication Date:   06 November 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Singularities of Ordinary Linear Differential Equations.- Introduction to the Theory of Isomonodronic Deformations.- Painlevé Approach to Nonlinear Ordinary Differential Equations.- Asymptotic Studies of the Painlevé Equations.- 2D Quantum and Topological Gravities.- Painlevé Transcendents in Two Dimensional Topological Field.- Discrete Painlevé Equations.- Painlevé Analysis for Partial Differential Equations.- On Painlevé and Darboux Halpen Type Equations.- Symmetry Reduction and Exact Solutions.- Painlevé Equations in Terms of Entire Functions.- Backlund Transformations of Painlevé Equations.- The Hamiltonians Associated to Painleve Equations.- Completeness of the Painlevé Test.

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