| 書目名稱 | The Painlevé Handbook | | 編輯 | Robert Conte,Micheline Musette | | 視頻video | http://file.papertrans.cn/916/915475/915475.mp4 | | 概述 | Provides an accessible yet thorough introduction to Painlevé analysis.Presents expanded, revised, and updated material with comprehensive coverage of both classical and modern applications.Includes ma | | 叢書名稱 | Mathematical Physics Studies | | 圖書封面 |  | | 描述 | .This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé 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 Schr?dinger equation, the Korteweg-de Vries equation, Hénon-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 Painlevé 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.. | | 出版日期 | Book 2020Latest edition | | 關(guān)鍵詞 | Nevanlinna theory; Painlevé test; discrete nonlinear systems; Korteweg-de Vries equation; Hénon-Heiles H | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-030-53340-3 | | isbn_softcover | 978-3-030-53342-7 | | isbn_ebook | 978-3-030-53340-3Series ISSN 0921-3767 Series E-ISSN 2352-3905 | | issn_series | 0921-3767 | | copyright | Springer Nature Switzerland AG 2020 |
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