The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations.
The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Maciej Dunajski is a Fellow of Clare College, and a Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics, at the University of Cambridge. His research interests are in differential and projective Geometry, Solitons, and General Theory of Relativity. In 2021 he was awarded the Atiyah Fellowship by the London Mathematical Society. Dunajski is the winner of the 2023 Gravity Research Foundation Award, and the author of Geometry: A Very Short Introduction (OUP 2022).
Inhaltsangabe
1: Integrability in classical mechanics 2: Soliton equations and the inverse scattering transform 3: Hamiltonian formalism and zero-curvature representation 4: Lie symmetries and reductions 5: Lagrangian formalism and field theory 6: Gauge field theory 7: Integrability of ASDYM and twistor theory 8: Symmetry reductions and the integrable chiral model 9: Vortices 10: Gravitational instantons 11: Anti-self-dual conformal structures
1: Integrability in classical mechanics 2: Soliton equations and the inverse scattering transform 3: Hamiltonian formalism and zero-curvature representation 4: Lie symmetries and reductions 5: Lagrangian formalism and field theory 6: Gauge field theory 7: Integrability of ASDYM and twistor theory 8: Symmetry reductions and the integrable chiral model 9: Vortices 10: Gravitational instantons 11: Anti-self-dual conformal structures
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