Soliton equations and their algebro-geometric solutions, Volume I, (1 + 1)-dimensional continuous models:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, UK
Cambridge University Press
2003
|
| Series: | Cambridge studies in advanced mathematics
79 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (v. 1, pages 469-499) and index 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 |
| Physical Description: | 1 Online-Ressource (1 volume) |
| ISBN: | 0511066570 1280417757 9780511066573 9781280417757 |
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| id | DE-604.BV043133360 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:28Z |
| institution | BVB |
| isbn | 0511066570 1280417757 9780511066573 9781280417757 |
| language | English |
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| spelling | Gesztesy, Fritz Verfasser aut 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 Cambridge University Press 2003 1 Online-Ressource (1 volume) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 79 Includes bibliographical references (v. 1, pages 469-499) and index 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 SCIENCE / Physics / Mathematical & Computational bisacsh Differential equations, Nonlinear / Numerical solutions fast Solitons fast Differential equations, Nonlinear Numerical solutions Solitons Holden, H. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=120684 Aggregator Volltext |
| spellingShingle | Gesztesy, Fritz Soliton equations and their algebro-geometric solutions, Volume I, (1 + 1)-dimensional continuous models SCIENCE / Physics / Mathematical & Computational bisacsh Differential equations, Nonlinear / Numerical solutions fast Solitons fast Differential equations, Nonlinear Numerical solutions Solitons |
| title | Soliton equations and their algebro-geometric solutions, Volume I, (1 + 1)-dimensional continuous models |
| title_alt | (1 + 1)-dimensional continuous models |
| title_auth | Soliton equations and their algebro-geometric solutions, Volume I, (1 + 1)-dimensional continuous models |
| title_exact_search | Soliton equations and their algebro-geometric solutions, Volume I, (1 + 1)-dimensional continuous models |
| 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, Volume I, (1 + 1)-dimensional continuous models |
| title_sort | soliton equations and their algebro geometric solutions volume i 1 1 dimensional continuous models |
| topic | SCIENCE / Physics / Mathematical & Computational bisacsh Differential equations, Nonlinear / Numerical solutions fast Solitons fast Differential equations, Nonlinear Numerical solutions Solitons |
| topic_facet | SCIENCE / Physics / Mathematical & Computational Differential equations, Nonlinear / Numerical solutions Solitons Differential equations, Nonlinear Numerical solutions |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=120684 |
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