Integrable Systems
Abstract
These notes are based on lecture courses I gave to third year mathematics students at Cambridge. They could form a basis of an elementary one--term lecture course on integrable systems covering the Arnold-Liouville theorem, inverse scattering transform, Hamiltonian methods in soliton theory and Lie point symmetries. No knowledge beyond basic calculus and ordinary differential equation is assumed.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Numerical methods for differential equations
Quantum chaos and dynamical systems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint