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Introduction to classical integrable systems /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to classical integrable systems // Olivier Babelon, Denis Bernard, Michel Talon.
Author:	Babelon, Olivier,
other author:	Bernard, Denis,
Description:	1 online resource (xi, 602 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Dynamics. -
Online resource:	https://doi.org/10.1017/CBO9780511535024
ISBN:	9780511535024 (ebook)

Introduction to classical integrable systems /
Babelon, Olivier,1951-

Introduction to classical integrable systems /Olivier Babelon, Denis Bernard, Michel Talon. - 1 online resource (xi, 602 pages) :digital, PDF file(s). - Cambridge monographs on mathematical physics. - Cambridge monographs on mathematical physics..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction --1.

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.

ISBN: 9780511535024 (ebook)Subjects--Topical Terms:

592238
Dynamics.

LC Class. No.: QA845 / .B32 2003

Dewey Class. No.: 531/.163

Introduction to classical integrable systems /
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245 1 0 $a Introduction to classical integrable systems / $c Olivier Babelon, Denis Bernard, Michel Talon.
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490 1 $a Cambridge monographs on mathematical physics
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $g 1. $t Introduction -- $g 2. $t Integrable dynamical systems -- $g 3. $t Synopsis of integrable systems -- $g 4 $t Algebraic methods -- $g 5. $t Analytical methods -- $g 6. $t The closed Toda chain -- 7. $t The Calogero-Moser model -- $g 8. $t Isomonodromic deformations -- $g 9. $t Grassmannian and integrable hierarchies -- $g 10. $t The KP hierarchy -- $g 11. $t The KdV hierarchy -- $g 12. $t The Toda field Theories -- $g 13 $t Classical inverse scattering method -- $g 14. $t Symplectic geometry -- $g 15. $t Riemann surfaces -- $g 16. $t Lie algebras.
520 $a 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.
650 0 $a Dynamics. $3 592238
650 0 $a Hamiltonian systems. $3 672650
700 1 $a Bernard, Denis, $d 1961- $e author. $3 1442072
700 1 $a Talon, Michel, $d 1952- $e author. $3 1442073
776 0 8 $i Print version: $z 9780521822671
830 0 $a Cambridge monographs on mathematical physics. $3 1238364
856 4 0 $u https://doi.org/10.1017/CBO9780511535024