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Backlund and Darboux Transformations - Geometry of Solitons

Applied Mathematics

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Description

Explore the advanced mathematical principles of integrable systems with Backlund and Darboux Transformations: The Geometry of Solitons. This volume, part of the CRM Proceedings and Lecture Notes series, focuses on a classical topic that has seen rapid development over the last 25 years. Designed for researchers and students in applied mathematics, the text provides a deep look into soliton theory and its various applications. The content is structured into two distinct parts to ensure a logical progression of complex ideas. The first part features pedagogical lectures from leading experts in the field, covering essential topics such as Backlund transformations of Painleve equations, the dressing method, and the classical geometry of Backlund transformations. This book serves as a comprehensive resource for anyone studying the evolution of integrable systems. Published by the American Mathematical Society, it offers a rigorous academic foundation for understanding the geometric and algebraic structures that define modern soliton theory.

Key Features

Comprehensive coverage of Backlund and Darboux transformations and their role in the theory of integrable systems.

Includes pedagogical lectures from leading experts to help readers master complex mathematical concepts.

Detailed exploration of soliton theory and its rapid developments over the past 25 years.

Structured in two parts, moving from introductory lectures to advanced applications in mathematics.

Covers specialized topics including Painleve equations, the dressing method, and classical geometry.

Published by the American Mathematical Society as part of the CRM Proceedings and Lecture Notes series.

Product Specifications

Format: paperback
ASIN: 0821828037
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 10 January 2002
Listed Since: 17 December 2006

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Backlund and Darboux Transformations - Geometry of Solitons

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