Integrability, self-duality, and twistor theory
著者
書誌事項
Integrability, self-duality, and twistor theory
（London Mathematical Society monographs, new ser.,
Clarendon Press, 1996
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注記
Includes bibliographical references (p. [343]-355) and index
内容説明・目次
内容説明
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.
目次
- PART I: SELF-DUALITY AND INTEGRABLE EQUATIONS
- PART II: TWISTOR THEORY
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