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Integrable Systems

2026/01/07 by Maciej Dunajski · 1 voice
Physics and Astronomy · #hep-th #math-ph #nlin.SI

paper · pdf · doi:10.1142/9789812815873_0003

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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