ENGLISH

Integrability, self-duality, and twistor theory

Book information

Publisher
Oxford University Press
Year
1996
ISBN
0198534981, 9780198534983
LCC
QC174.52.Y37 M37 1996
Open Library ID
OL967641M
Language
english
Format
PDF
Filesize
6 MB (5995185 bytes)
Series
London Mathematical Society Monographs New Series volume 15
Pages
374\374
DPI
600
Orientation
yes
Scanned
yes
Time added
2012-03-09 12:00:00

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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