CRM Proceedings & Lecture Notes
Volume: 9; 1996; 388 pp; Softcover
MSC: Primary 39; Secondary 33
Print ISBN: 978-0-8218-0601-2
Product Code: CRMP/9
List Price: $119.00
Individual Member Price: $95.20
Symmetries and Integrability of Difference EquationsShare this page
Edited by Decio Levi; Luc Vinet; Pavel Winternitz
A co-publication of the AMS and Centre de Recherches Mathématiques
This book is devoted to a topic that has undergone rapid
and fruitful development over the last few years: symmetries
and integrability of difference equations and
\(q\)-difference equations and the theory of special functions
that occur as solutions of such equations. Techniques that have been
traditionally applied to solve linear and nonlinear differential
equations are now being successfully adapted and applied to discrete
This volume is based on contributions made by leading experts in the field during the workshop on Symmetries and Integrability of Difference Equations held in Estérel, Québec, in May 1994.
Giving an up-to-date review of the current status of the field, the book treats these specific topics: Lie group and quantum group symmetries of difference and \(q\)-difference equations, integrable and nonintegrable discretizations of continuous integrable systems, integrability of difference equations, discrete Painlevé property and singularity confinement, integrable mappings, applications in statistical mechanics and field theories, Yang-Baxter equations, \(q\)-special functions and discrete polynomials, and \(q\)-difference integrable systems.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Table of Contents
Table of Contents
Symmetries and Integrability of Difference Equations
Graduate students, research mathematicians and physicists working in difference equations, special function theory, applications of Lie groups theory, nonlinear phenomena in general and integrability in particular. Also of interest to pure and applied mathematicians, theoretical and mathematical physicists, and engineers interested in solitons.