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arXiv · 2601.04077

Integrable Systems

Maciej Dunajski
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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.

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Maciej Dunajski. 2026-01-07. Integrable Systems. https://arxiv.org/abs/2601.04077

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