Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models:
As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include th...
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| Hauptverfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
114 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 438 Seiten) |
| ISBN: | 9780511543203 |
| DOI: | 10.1017/CBO9780511543203 |
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| 520 | |a As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results | ||
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| author | Gesztesy, Fritz 1953- Holden, Helge 1956- Michor, Johanna Teschl, Gerald 1970- |
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| discipline | Physik Mathematik |
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| id | DE-604.BV043942466 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511543203 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351436 |
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| physical | 1 online resource (x, 438 Seiten) |
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| publishDate | 2008 |
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| spelling | Gesztesy, Fritz 1953- Verfasser (DE-588)134200136 aut Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl Soliton Equations & Their Algebro-Geometric Solutions Cambridge Cambridge University Press 2008 1 online resource (x, 438 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 114 Title from publisher's bibliographic system (viewed on 05 Oct 2015) As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results Differential equations, Nonlinear / Numerical solutions Solitons 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 Lösung Mathematik (DE-588)4120678-2 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- Verfasser (DE-588)111693667 aut Michor, Johanna Verfasser aut Teschl, Gerald 1970- Verfasser (DE-588)140501037 aut Erscheint auch als Druck-Ausgabe 978-0-521-75308-1 Erscheint auch als Druckausgabe 978-0-521-75308-1 Cambridge studies in advanced mathematics 114 (DE-604)BV044781283 114 https://doi.org/10.1017/CBO9780511543203 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gesztesy, Fritz 1953- Holden, Helge 1956- Michor, Johanna Teschl, Gerald 1970- Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models Cambridge studies in advanced mathematics Differential equations, Nonlinear / Numerical solutions Solitons Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Lösung Mathematik (DE-588)4120678-2 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4065315-8 (DE-588)4001161-6 (DE-588)4120678-2 |
| title | Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models |
| title_alt | Soliton Equations & Their Algebro-Geometric Solutions |
| title_auth | Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models |
| title_exact_search | Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models |
| title_full | Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl |
| title_fullStr | Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl |
| title_full_unstemmed | Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl |
| title_short | Soliton equations and their algebro-geometric solutions, Volume 2, (1 + 1)-dimensional discrete models |
| title_sort | soliton equations and their algebro geometric solutions volume 2 1 1 dimensional discrete models |
| topic | Differential equations, Nonlinear / Numerical solutions Solitons Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Lösung Mathematik (DE-588)4120678-2 gnd |
| topic_facet | Differential equations, Nonlinear / Numerical solutions Solitons Soliton Wellengleichung Algebraische Geometrie Lösung Mathematik |
| url | https://doi.org/10.1017/CBO9780511543203 |
| volume_link | (DE-604)BV044781283 |
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