Soliton equations and their algebro-geometric solutions.: Vol. 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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2008.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
114. |
| Schlagworte: | |
| Online-Zugang: | 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: | 1 online resource (x, 438 pages) |
| Bibliographie: | Includes bibliographical references (pages 398-421) and index. |
| ISBN: | 9780511429842 0511429843 9780511543203 0511543204 |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:35Z |
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| isbn | 9780511429842 0511429843 9780511543203 0511543204 |
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| spelling | Soliton equations and their algebro-geometric solutions. Vol. 2, (1+1)-dimensional discrete models / Fritz Gesztesy [and others]. (1+1)-dimensional discrete models Cambridge, UK ; New York : Cambridge University Press, 2008. 1 online resource (x, 438 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 114 Includes bibliographical references (pages 398-421) and index. Print version record. 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. 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 Gesztesy, Fritz, 1953- https://id.oclc.org/worldcat/entity/E39PBJcwwDXTvRFDB9qkbYWbh3 http://id.loc.gov/authorities/names/n95066607 has work: Vol. 2 (1+1)-dimensional discrete models Soliton equations and their algebro-geometric solutions (Text) https://id.oclc.org/worldcat/entity/E39PCFYMYKBBdCFk86KTkDgKr3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Soliton equations and their algebro-geometric solutions. Vol. 2, (1+1)-dimensional discrete models. Cambridge, UK ; New York : Cambridge University Press, 2008 9780521753081 0521753082 (OCoLC)233263366 Cambridge studies in advanced mathematics ; 114. 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=244556 Volltext |
| spellingShingle | 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 discrete 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. Vol. 2, (1+1)-dimensional discrete models / Fritz Gesztesy [and others]. |
| title_fullStr | Soliton equations and their algebro-geometric solutions. Vol. 2, (1+1)-dimensional discrete models / Fritz Gesztesy [and others]. |
| title_full_unstemmed | Soliton equations and their algebro-geometric solutions. Vol. 2, (1+1)-dimensional discrete models / Fritz Gesztesy [and others]. |
| title_short | Soliton equations and their algebro-geometric solutions. |
| title_sort | soliton equations and their algebro geometric solutions 1 1 dimensional discrete 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 |
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