Soliton equations and their algebro-geometric solutions.: Volume I, (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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2003.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
79. |
| Schlagworte: | |
| Online-Zugang: | 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: | 1 online resource (1 volume) : illustrations |
| Bibliographie: | Includes bibliographical references (v. 1, pages 469-499) and index. |
| ISBN: | 0511066570 9780511066573 1280417757 9781280417757 |
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| spelling | Gesztesy, Fritz, 1953- https://id.oclc.org/worldcat/entity/E39PBJcwwDXTvRFDB9qkbYWbh3 http://id.loc.gov/authorities/names/n95066607 Soliton equations and their algebro-geometric solutions. Volume I, (1 + 1)-dimensional continuous models / Fritz Gesztesy, Helge Holden. (1 + 1)-dimensional continuous models Cambridge, UK ; New York : Cambridge University Press, 2003. 1 online resource (1 volume) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 79 Includes bibliographical references (v. 1, pages 469-499) and index. Print version record. 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. http://id.loc.gov/authorities/subjects/sh85037908 Solitons. http://id.loc.gov/authorities/subjects/sh85124672 Équations différentielles non linéaires Solutions numériques. Solitons. SCIENCE Physics Mathematical & Computational. bisacsh Differential equations, Nonlinear Numerical solutions fast Solitons fast Electronic books. Holden, H. (Helge), 1956- https://id.oclc.org/worldcat/entity/E39PBJxCBWycwFk4C7mT7qKWXd http://id.loc.gov/authorities/names/n88262161 Print version: Gesztesy, Fritz, 1953- Soliton equations and their algebro-geometric solutions. Volume I, (1 + 1)-dimensional continuous models. Cambridge, UK ; New York : Cambridge University Press, 2003 0521753074 (DLC) 2002074069 (OCoLC)50253271 Cambridge studies in advanced mathematics ; 79. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120684 Volltext |
| spellingShingle | Gesztesy, Fritz, 1953- Soliton equations and their algebro-geometric solutions. Cambridge studies in advanced mathematics ; Differential equations, Nonlinear Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037908 Solitons. http://id.loc.gov/authorities/subjects/sh85124672 Équations différentielles non linéaires Solutions numériques. Solitons. SCIENCE Physics Mathematical & Computational. bisacsh Differential equations, Nonlinear Numerical solutions fast Solitons fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037908 http://id.loc.gov/authorities/subjects/sh85124672 |
| title | Soliton equations and their algebro-geometric solutions. |
| title_alt | (1 + 1)-dimensional continuous models |
| title_auth | Soliton equations and their algebro-geometric solutions. |
| title_exact_search | Soliton equations and their algebro-geometric solutions. |
| title_full | Soliton equations and their algebro-geometric solutions. Volume I, (1 + 1)-dimensional continuous models / Fritz Gesztesy, Helge Holden. |
| title_fullStr | Soliton equations and their algebro-geometric solutions. Volume I, (1 + 1)-dimensional continuous models / Fritz Gesztesy, Helge Holden. |
| title_full_unstemmed | Soliton equations and their algebro-geometric solutions. Volume I, (1 + 1)-dimensional continuous models / Fritz Gesztesy, Helge Holden. |
| title_short | Soliton equations and their algebro-geometric solutions. |
| title_sort | soliton equations and their algebro geometric solutions 1 1 dimensional continuous models |
| topic | Differential equations, Nonlinear Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037908 Solitons. http://id.loc.gov/authorities/subjects/sh85124672 Équations différentielles non linéaires Solutions numériques. Solitons. SCIENCE Physics Mathematical & Computational. bisacsh Differential equations, Nonlinear Numerical solutions fast Solitons fast |
| topic_facet | Differential equations, Nonlinear Numerical solutions. Solitons. Équations différentielles non linéaires Solutions numériques. SCIENCE Physics Mathematical & Computational. Differential equations, Nonlinear Numerical solutions Solitons Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120684 |
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