Soliton Equations and Their Algebro-Geometric Solutions

Informationen zum Autor Fritz Gesztesy is Professor of Mathematics at the University of Missouri, Columbia. Klappentext Detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions. Zusammenfassung A detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions. Provides a rigorous and self-contained presentation at graduate level. Background material is succinctly presented in four appendices! and detailed notes and an exhaustive bibliography enhance understanding of the main results. Inhaltsverzeichnis Acknowledgments; Introduction; 1. The Toda hierarchy; 2. The Kac-van Moerbeke hierarchy; 3. The Ablowitz-Ladik hierarchy; A. Algebraic Curves and Their Theta Functions in a Nutshell; B. Hyperelliptic Curves of the Toda-Type; C. Asymptotic Spectral Parameter Expansions; D. Lagrange Interpolation; List of Symbols; Bibliography; Index; Errata and Addenda for Volume I.

Autorentext
Fritz Gesztesy is Professor of Mathematics at the University of Missouri, Columbia.

Klappentext
Detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions.

Inhalt
Acknowledgments; Introduction; 1. The Toda hierarchy; 2. The Kac-van Moerbeke hierarchy; 3. The Ablowitz-Ladik hierarchy; A. Algebraic Curves and Their Theta Functions in a Nutshell; B. Hyperelliptic Curves of the Toda-Type; C. Asymptotic Spectral Parameter Expansions; D. Lagrange Interpolation; List of Symbols; Bibliography; Index; Errata and Addenda for Volume I.

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