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

— —

Fritz Gesztesy (University of Missouri, Columbia) Helge Holden (Norwegian University of Science and Technology, Trondheim)

Soliton Equations and Their Algebro-Geometric Solutions

Volume 2, (1+1)-Dimensional Discrete Models

Fritz Gesztesy (University of Missouri, Columbia), Helge Holden (Norwegian University of Science and Technology, Trondheim), Johanna Michor (Universität Wien, Austria) , Gerald Teschl (Universität Wien, Austria)

$236.95

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Cambridge University Press
04 September 2008

Calculus & mathematical analysis; Analytic topology; Mathematical physics

Series: Cambridge Studies in Advanced Mathematics

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.

By: Fritz Gesztesy (University of Missouri Columbia), Helge Holden (Norwegian University of Science and Technology, Trondheim), Johanna Michor (Universität Wien, Austria), Gerald Teschl (Universität Wien, Austria)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 114
Dimensions: Height: 234mm, Width: 152mm, Spine: 27mm
Weight: 740g
ISBN: 9780521753081
ISBN 10: 0521753082
Series: Cambridge Studies in Advanced Mathematics
Pages: 448
Publication Date: 04 September 2008
Audience: Professional and scholarly , College/higher education , Undergraduate , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Fritz Gesztesy is Professor of Mathematics at the University of Missouri, Columbia. Helge Holden is Professor of Mathematics at the Norwegian University of Science and Technology. Johanna Michor is a Postdoctoral Fellow in the Faculty of Mathematics at the University of Vienna. Gerald Teschl is Associate Professor of Mathematics at the University of Vienna.

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

Reviews of Volume 1: '... this is a book that I would recommend to any student of mine, for clarity and completeness of exposition ... Any expert as well would enjoy the book and learn something stimulating from the sidenotes that point to alternative developments. We look forward to volumes two and three!' Mathematical Reviews 'The book is very well organized and carefully written. It could be particularly useful for analysts wanting to learn new methods coming from algebraic geometry.' EMS Newsletter Review of Volume 2: 'As with the first part, the book is very well written and carefully organised and it is a pleasure to read it.' EMS Newsletter