Introduction to Classical Integrable Systems

Introduction to Classical Integrable Systems
Author :
Publisher : Cambridge University Press
Total Pages : 622
Release :
ISBN-10 : 052182267X
ISBN-13 : 9780521822671
Rating : 4/5 (671 Downloads)

Book Synopsis Introduction to Classical Integrable Systems by : Olivier Babelon

Download or read book Introduction to Classical Integrable Systems written by Olivier Babelon and published by Cambridge University Press. This book was released on 2003-04-17 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Introduction to Classical Integrable Systems Related Books

Introduction to Classical Integrable Systems
Language: en
Pages: 622
Authors: Olivier Babelon
Categories: Mathematics
Type: BOOK - Published: 2003-04-17 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their
Global Aspects of Classical Integrable Systems
Language: en
Pages: 493
Authors: Richard H. Cushman
Categories: Science
Type: BOOK - Published: 2015-06-01 - Publisher: Birkhäuser

DOWNLOAD EBOOK

This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic
Integrable Systems
Language: en
Pages: 148
Authors: N.J. Hitchin
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Oxford University Press, USA

DOWNLOAD EBOOK

Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origin
Elements of Classical and Quantum Integrable Systems
Language: en
Pages: 420
Authors: Gleb Arutyunov
Categories: Science
Type: BOOK - Published: 2019-07-23 - Publisher: Springer

DOWNLOAD EBOOK

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is we
Lectures on Integrable Systems
Language: en
Pages: 109
Authors: Jens Hoppe
Categories: Science
Type: BOOK - Published: 2008-09-15 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Mainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any k