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Integrability, Self-Duality, and Twistor Theory

By Woodhouse, N. M.

Integrability, Self-Duality, and Twistor Theory Social Sciences

Integrability, Self-Duality, and Twistor Theory

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Description
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 non-linear Schrodinger 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 supports two central theories: that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and that twistor theory provides a uniform geometric framework for the study of Backlund transformations, the inverse scattering method, and other such general constructions of integrability theory. The book will be useful to researchers and graduate students in mathematical physics.
Product details
Edition:
illustrated
Number of Pages:
376
Release Date:
1997-01-30
Publication Date:
1996-05-09
Publisher:
OUP Oxford
Languages:
Original: English
ISBN10:
0198534981
ISBN13:
9780198534983
GPSR Manufacturer Reference:
[email protected]
Weight:
728 g
Height:
161 cm
Width:
240 cm
Thickness:
25 cm
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