Introduction to Classical Integrable Systems 1st Edition by Olivier Babelon, Denis Bernard, Michel Talon ISBN 978-0521036702 0521036704

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Product details: 

ISBN 10: 2 0521036704

ISBN 13: 978-052103670

Author:  Olivier Babelon, Denis Bernard, Michel Talon

Introducing the reader to classical integrable systems and their applications, this book synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. The authors introduce and explain each method, and demonstrate how it can be applied to particular examples. Rather than presenting an exhaustive list of the various integrable systems, they focus on classical objects which have well-known quantum counterparts, or are the semi-classical limits of quantum objects. They thus enable readers to understand the literature on quantum integrable systems.

Table of contents: 

1. Introduction

2. Integrable Dynamical Systems

3. Synopsis of Integrable Systems

4. Algebraic Methods

5. Analytical Methods

6. The Closed Toda Chain

7. The Calogero–Moser Model

8. Isomonodromic Deformations

9. Grassmannian and Integrable Hierarchies

10. The KP Hierarchy

11. The KdV Hierarchy

12. The Toda Field Theories

13. Classical Inverse Scattering Method

14. Symplectic Geometry

15. Riemann Surfaces

16. Lie Algebras

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Tags: Olivier Babelon, Denis Bernard, Michel Talon, Introduction to Classical, Integrable Systems