書誌事項

Integrability, self-duality, and twistor theory

L.J. Mason and N.M.J. Woodhouse

(London Mathematical Society monographs, new ser., 15)

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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