Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models

As a partner to Volume 1: Dimensional Continuous Models, this book provides a self-contained introduction to solition 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.

Author: Fritz Gesztesy, Helge Holden, Johanna Michor
Publisher: Cambridge University Press
Published: 09/04/2008
Pages: 448
Binding Type: Hardcover
Weight: 1.58lbs
Size: 9.00h x 5.80w x 1.10d
ISBN: 9780521753081

About the Author
Gesztesy, Fritz: - Fritz Gesztesy is Professor of Mathematics at the University of Missouri, Columbia.Holden, Helge: - Helge Holden is Professor of Mathematics at the Norwegian University of Science and Technology.Michor, Johanna: - Johanna Michor is a Postdoctoral Fellow in the Faculty of Mathematics at the University of Vienna.
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