Introduction to classical integrable systems
Olivier Babelon, Denis Bernard, Michel Talon.
Cambridge : Cambridge University Press, 2003.
xi, 602 págs. ; 26 cm.
Serie: Cambridge monographs on mathematical physics
ISBN: 052182267X
Incluye referencias bibliográficas e índice.
Reseña: MathSciNet, 2004e:37085
Contenido
- 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.
