Introduction to Classical Integrable Systems

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Paperback | 31 May 2007

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616 Pages

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This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for researchers already working in the field.

Industry Reviews

'This monograph provides a thorough introduction to the theory of classical integrable systems ... The book contains many worked examples and is suitable for use as a textbook on graduate courses. For researchers already working in this field this book is a valuable source of information which provides an excellent overview of the established results and the present developments.' Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Dynamics & Statics Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Solids Dynamics & Vibration Mathematics Calculus & Mathematical Analysis

Differential Calculus & Equations Applied Mathematics Electricity Energy Technology & Engineering Electrical Engineering

Introduction
Integrable dynamical systems
Synopsis of integrable systems
Algebraic methods
Analytical methods
The closed Toda chain
The Calogero-Moser model
Isomonodromic deformations
Grassmannian and integrable hierarchies
The KP hierarchy
The KdV hierarchy
The Toda field theories
Classical inverse scattering method
Symplectic geometry
Riemann surfaces
Lie algebras
Index
Table of Contents provided by Publisher. All Rights Reserved.

Introduction to Classical Integrable Systems

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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