Integrability, self-duality, and twistor theory
Author(s)
Bibliographic Information
Integrability, self-duality, and twistor theory
（London Mathematical Society monographs, new ser.,
Clarendon Press, 1996
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references (p. [343]-355) and index
Description and Table of Contents
Description
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.
Table of Contents
- PART I: SELF-DUALITY AND INTEGRABLE EQUATIONS
- PART II: TWISTOR THEORY
by "Nielsen BookData"