Integrability, Self-Duality, and Twistor Theory (London Mathematical Society Monographs)
ISBN-13:
9780198534983
ISBN-10:
0198534981
Edition:
1
Author:
N. M. J. Woodhouse, L. Mason
Publication date:
1997
Publisher:
Clarendon Press
Format:
Hardcover
376 pages
Category:
Linguistics
,
Words, Language & Grammar
,
Nuclear Physics
,
Physics
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Book details
ISBN-13:
9780198534983
ISBN-10:
0198534981
Edition:
1
Author:
N. M. J. Woodhouse, L. Mason
Publication date:
1997
Publisher:
Clarendon Press
Format:
Hardcover
376 pages
Category:
Linguistics
,
Words, Language & Grammar
,
Nuclear Physics
,
Physics
Summary
Integrability, Self-Duality, and Twistor Theory (London Mathematical Society Monographs) (ISBN-13: 9780198534983 and ISBN-10: 0198534981), written by authors
N. M. J. Woodhouse, L. Mason, was published by Clarendon Press in 1997.
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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.
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