Painlevé Transcendents: Their Asymptotics and Physical Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1992
|
| Schriftenreihe: | NATO ASI Series, Series B: Physics
278 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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, 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 re 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 |
| Beschreibung: | 1 Online-Ressource (XXVI, 446 p) |
| ISBN: | 9781489911582 9781489911605 |
| ISSN: | 0258-1221 |
| DOI: | 10.1007/978-1-4899-1158-2 |
Internformat
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Datensatz im Suchindex
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| discipline | Physik |
| doi_str_mv | 10.1007/978-1-4899-1158-2 |
| format | Electronic eBook |
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| spelling | Levi, Decio Verfasser aut Painlevé Transcendents Their Asymptotics and Physical Applications edited by Decio Levi, Pavel Winternitz Boston, MA Springer US 1992 1 Online-Ressource (XXVI, 446 p) txt rdacontent c rdamedia cr rdacarrier NATO ASI Series, Series B: Physics 278 0258-1221 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, 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 re 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 Physics Theoretical, Mathematical and Computational Physics Painlevé-Gleichung (DE-588)4123902-7 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1990 Québec gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1990 Sainte-Adèle gnd-content Painlevé-Gleichung (DE-588)4123902-7 s Mathematische Physik (DE-588)4037952-8 s 3\p DE-604 Winternitz, Pavel Sonstige oth https://doi.org/10.1007/978-1-4899-1158-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Levi, Decio Painlevé Transcendents Their Asymptotics and Physical Applications Physics Theoretical, Mathematical and Computational Physics Painlevé-Gleichung (DE-588)4123902-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4123902-7 (DE-588)4037952-8 (DE-588)1071861417 |
| title | Painlevé Transcendents Their Asymptotics and Physical Applications |
| title_auth | Painlevé Transcendents Their Asymptotics and Physical Applications |
| title_exact_search | Painlevé Transcendents Their Asymptotics and Physical Applications |
| title_full | Painlevé Transcendents Their Asymptotics and Physical Applications edited by Decio Levi, Pavel Winternitz |
| title_fullStr | Painlevé Transcendents Their Asymptotics and Physical Applications edited by Decio Levi, Pavel Winternitz |
| title_full_unstemmed | Painlevé Transcendents Their Asymptotics and Physical Applications edited by Decio Levi, Pavel Winternitz |
| title_short | Painlevé Transcendents |
| title_sort | painleve transcendents their asymptotics and physical applications |
| title_sub | Their Asymptotics and Physical Applications |
| topic | Physics Theoretical, Mathematical and Computational Physics Painlevé-Gleichung (DE-588)4123902-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics Painlevé-Gleichung Mathematische Physik Konferenzschrift 1990 Québec Konferenzschrift 1990 Sainte-Adèle |
| url | https://doi.org/10.1007/978-1-4899-1158-2 |
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