CRM Proceedings & Lecture Notes
Volume: 29; 2001; 436 pp; Softcover
MSC: Primary 37; 35; 17;
Print ISBN: 978-0-8218-2803-8
Product Code: CRMP/29
List Price: $138.00
Individual Member Price: $110.40
Bäcklund and Darboux Transformations. The Geometry of SolitonsShare this page
Edited by Alan Coley; Decio Levi; Robert Milson; Colin Rogers; Pavel Winternitz
A co-publication of the AMS and Centre de Recherches Mathématiques
This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Bäcklund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory.
The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Bäcklund transformations of Painlevé equations, to the dressing method and Bäcklund and Darboux transformations, and to the classical geometry of Bäcklund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations.
Both the introductory lectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Bäcklund and Darboux transformations.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Table of Contents
Table of Contents
Backlund and Darboux Transformations. The Geometry of Solitons
Graduate students and research mathematicians interested in dynamical systems, ergodic theory, and partial differential equations.