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Soliton equations and their algebro-geometric solutions . Volume 2 (1 + 1)-dimensional discrete models / / Fritz Gesztesy [and three others] [[electronic resource]]



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Autore: Gesztesy Fritz <1953-> Visualizza persona
Titolo: Soliton equations and their algebro-geometric solutions . Volume 2 (1 + 1)-dimensional discrete models / / Fritz Gesztesy [and three others] [[electronic resource]] Visualizza cluster
Pubblicazione: Cambridge : , : Cambridge University Press, , 2008
Descrizione fisica: 1 online resource (x, 438 pages) : digital, PDF file(s)
Disciplina: 530.155355
Soggetto topico: Differential equations, Nonlinear - Numerical solutions
Solitons
Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Cover; Half-title; Series-title; Title; Copyright; Contents; Acknowledgments; Introduction; 1 The Toda Hierarchy; 2 The Kac-van Moerbeke Hierarchy; 3 The Ablowitz-Ladik Hierarchy; Appendix A: Algebraic Curves and Their Theta Functions in a Nutshell; Appendix B: Hyperelliptic Curves of the Toda-Type; Appendix C: Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations; Appendix D: Lagrange Interpolation; List of Symbols; Bibliography; Index; Errata and Addenda for Volume
Sommario/riassunto: 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.
Altri titoli varianti: Soliton Equations & Their Algebro-Geometric Solutions
Titolo autorizzato: Soliton equations and their algebro-geometric solutions  Visualizza cluster
ISBN: 1-107-19344-3
1-281-79136-9
9786611791360
0-511-42946-0
0-511-42827-8
0-511-42984-3
0-511-42766-2
0-511-54320-4
0-511-42898-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910453833403321
Lo trovi qui: Univ. Federico II
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Serie: Cambridge studies in advanced mathematics ; ; 114.