Integrable Systems
High Energy Physics - Theory
2026-01-13 v1 Mathematical Physics
math.MP
Exactly Solvable and 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.
Cite
@article{arxiv.2601.04077,
title = {Integrable Systems},
author = {Maciej Dunajski},
journal= {arXiv preprint arXiv:2601.04077},
year = {2026}
}
Comments
90 pages