Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Soliton Equations and Their Algebro-Geometric Solutions

Soliton Equations and Their Algebro-Geometric Solutions

Michor, Johanna
Gesztesy, Fritz
Holden, Helge

Hardcover

Series: Cambridge Studies in Advanced Mathematics, Book 114

General MathematicsPhysics

ISBN10: 0521753082
ISBN13: 9780521753081
Publisher: Cambridge University Press
Published: Sep 4 2008
Pages: 448
Weight: 1.58
Height: 1.10 Width: 5.80 Depth: 9.00
Language: English
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.

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