**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 Equations

Share 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
equations.

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

#### Readership

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.