Integrability, self-duality, and twistor theory
Lionel J. Mason, Nicholas Michael John Woodhouse
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.
Catégories:
Année:
1996
Editeur::
Oxford University Press
Langue:
english
Pages:
376
ISBN 10:
0198534981
ISBN 13:
9780198534983
Fichier:
PDF, 52.84 MB
IPFS:
,
english, 1996
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