ENGLISH

Soliton Equations and Their Algebro-Geometric Solutions

By Fritz Gesztesy , Gerald Teschl , Helge Holden , Johanna Michor

Book information

Publisher
Cambridge University Press
Year
2008
ISBN
0521753082, 9780521753081, 9780511429842
Language
english
Format
PDF
Filesize
2 MB (2511795 bytes)
Volume
Volume 2
Edition
1
Pages
448\448
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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.

Similar books