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Integrability, self-duality, and twistor theory
Hardback
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- Book Synopsis
- It has been known for some time that many of the familiar integrable systems of equations are symmetry reductions of self-duality equations on a metric or on a Yang-Mills connection (for example, the Korteweg-de Vries and nonlinear Schrödinger equations are reductions of the self-dual Yang-Mills equation). This book explores in detail the connections between self-duality and integrability, and also the application of twistor techniques to integrable systems. It has two central themes: first, that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and second that twistor theory provides a uniform geometric framework for the study of B· acklund tranformations, the inverse scattering method, and other such general constructions of integrability theory, and that it elucidates the connections between them.
- Product Details
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- ISBN
- 9780198534983
- Format
- Hardback
- Publisher
- Oxford University Press, (09 May 1996)
- Number of Pages
- 364
- Weight
- 688 grams
- Language
- English
- Dimensions
- 241 x 162 x 25 mm
- Series:
- See all books in this series
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