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<図書>
Integrability, self-duality, and twistor theory

責任表示 L.J. Mason and N.M.J. Woodhouse
シリーズ London Mathematical Society monographs ; new ser., 15
データ種別 図書
出版者 Oxford ; New York : Clarendon Press
出版年 1996
本文言語 英語
大きさ x, 364 p. : ill. ; 25 cm
概要 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 Sch...odinger 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. 続きを見る

所蔵情報


理系図3F 数理独自 023211996003947 MASO/5/1 1996

書誌詳細

一般注記 Includes bibliographical references (p. [343]-355) and index
著者標目 *Mason, L. J. (Lionel J.)
Woodhouse, N. M. J. (Nicholas Michael John), 1949-
件 名 LCSH:Yang-Mills theory
LCSH:Duality (Mathematics)
LCSH:Twistor theory
LCSH:Mathematical physics
分 類 LCC:QC174.52.Y37
DC20:514/.74
書誌ID 1000220132
ISBN 0198534981
NCID BA27738145
巻冊次 ISBN:0198534981
NBN B96Y7451
登録日 2009.09.11
更新日 2009.11.02

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