Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models:
The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classi...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
79 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exhaustive bibliography enhance the presentation offered in the main text |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 505 Seiten) |
| ISBN: | 9780511546723 |
| DOI: | 10.1017/CBO9780511546723 |
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| id | DE-604.BV043942481 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511546723 |
| language | English |
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| physical | 1 online resource (xii, 505 Seiten) |
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| publishDate | 2003 |
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| spelling | Gesztesy, Fritz 1953- Verfasser (DE-588)134200136 aut Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models Fritz Gesztesy, Helge Holden Soliton Equations & their Algebro-Geometric Solutions Cambridge Cambridge University Press 2003 1 online resource (xii, 505 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 79 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exhaustive bibliography enhance the presentation offered in the main text Differential equations, Nonlinear / Numerical solutions Solitons Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Wellengleichung (DE-588)4065315-8 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Lösung Mathematik (DE-588)4120678-2 s DE-604 Soliton (DE-588)4135213-0 s Wellengleichung (DE-588)4065315-8 s Holden, Helge 1956- Sonstige (DE-588)111693667 oth Erscheint auch als Druck-Ausgabe 978-0-521-75307-4 Erscheint auch als Druckausgabe 978-0-521-75307-4 Cambridge studies in advanced mathematics 79 (DE-604)BV044781283 79 https://doi.org/10.1017/CBO9780511546723 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gesztesy, Fritz 1953- Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models Cambridge studies in advanced mathematics Differential equations, Nonlinear / Numerical solutions Solitons Lösung Mathematik (DE-588)4120678-2 gnd Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4120678-2 (DE-588)4135213-0 (DE-588)4065315-8 (DE-588)4001161-6 |
| title | Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models |
| title_alt | Soliton Equations & their Algebro-Geometric Solutions |
| title_auth | Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models |
| title_exact_search | Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models |
| title_full | Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models Fritz Gesztesy, Helge Holden |
| title_fullStr | Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models Fritz Gesztesy, Helge Holden |
| title_full_unstemmed | Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models Fritz Gesztesy, Helge Holden |
| title_short | Soliton equations and their algebro-geometric solutions, Volume 1, (1 + 1)-dimensional continuous models |
| title_sort | soliton equations and their algebro geometric solutions volume 1 1 1 dimensional continuous models |
| topic | Differential equations, Nonlinear / Numerical solutions Solitons Lösung Mathematik (DE-588)4120678-2 gnd Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Differential equations, Nonlinear / Numerical solutions Solitons Lösung Mathematik Soliton Wellengleichung Algebraische Geometrie |
| url | https://doi.org/10.1017/CBO9780511546723 |
| volume_link | (DE-604)BV044781283 |
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