Integrable Systems

Fuente: arXiv
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Main Author: Dunajski, Maciej
Format: Preprint
Published: 2026
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author Dunajski, Maciej
author_facet Dunajski, Maciej
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_04077
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Integrable Systems
Dunajski, Maciej
High Energy Physics - Theory
Mathematical Physics
Exactly Solvable and Integrable Systems
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.
title Integrable Systems
topic High Energy Physics - Theory
Mathematical Physics
Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2601.04077