Integrability, Self-duality, and Twistor Theory (Hardcover)

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 Schroedinger 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 Backlund tranformations, the inverse scattering method, and other such general constructions of integrability theory, and that it elucidates the connections between them.

General

Imprint:	Clarendon Press
Country of origin:	United Kingdom
Series:	London Mathematical Society Monographs, 15
Release date:	May 1996
First published:	1997
Authors:	L. J. Mason • N.M.J. Woodhouse
Dimensions:	241 x 162 x 25mm (L x W x T)
Format:	Hardcover
Pages:	376
ISBN-13:	978-0-19-853498-3
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Promotions
LSN:	0-19-853498-1
Barcode:	9780198534983

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