Integrability, Self-duality, and Twistor Theory (London Mathematical Society Monographs, Vol.15) '97
Mason, L. J.,
Woodhouse, N. M. J.
著
発行年月 |
1996年05月 |
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出版国 |
イギリス |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
hardcover |
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ページ数/巻数 |
376 p., line figures |
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ジャンル |
洋書/理工学/数学/応用数学 |
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ISBN |
9780198534983 |
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商品コード |
0209615790 |
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本の性格 |
学術書 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209615790 |
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内容
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.