Integrability, Self-duality, and Twistor Theory
Book Details
Format
Hardback
Book Series
London Mathematical Society Monographs
ISBN-10
0198534981
ISBN-13
9780198534983
Publisher
Oxford University Press
Imprint
Oxford University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 9th, 1996
Print length
376 Pages
Weight
726 grams
Dimensions
24.10 x 16.40 x 2.80 cms
Product Classification:
Algebraic geometryMaths for scientistsPhysics
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This book explores in detail the connections between self-duality and integrability, and also the application of twistor techniques to integrable systems.
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 Schrödinger 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 B¨ acklund tranformations, the inverse scattering method, and other such general constructions of integrability theory, and that it elucidates the connections between them.
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