<図書>
Integrability
責任表示 | A.V. Mikhailov (ed.) |
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シリーズ | Lecture notes in physics ; 767 |
データ種別 | 図書 |
出版情報 | Berlin : Springer , c2009 |
本文言語 | 英語 |
大きさ | xiii, 339 p. : ill. ; 25 cm |
概要 | This is a unique collection of lectures on integrability, intended for graduate students or anyone who would like to master the subject from scratch, and written by leading experts in the field includ...ng Fields Medallist Serge Novikov. Since integrable systems have found a wide range of applications in modern theoretical and mathematical physics, it is important to recognise integrable models and, ideally, to obtain a global picture of the integrable world. The main aims of the book are to present a variety of views on the definition of integrable systems; to develop methods and tests for integrability based on these definitions; and to uncover beautiful hidden structures associated with integrable equations. Book jacket.続きを見る |
目次 | Symmetries of differential equations and the problem of integrability / A.V. Mikhailov and V.V. Sokolov Number theory and the symmetry classification of integrable systems / J.A. Sanders and J.P. Wang Four lectures : discretization and integrability : discrete spectral symmetries / S.P. Novikov Symmetries of spectral problems / A. Shabat Normal form and solitons / Y. Hirakoa and Y. Kodama Multiscale expansion and integrability of dispersive wave equations / A. Degasperis PainleveÌ tests, singularity structure and integrability / A.N.W. Hone Hirota's bilinear method and its connection with integrability / J. Hietarinta Integrability of the quantum XXZ Hamiltonian / T. Miwa. |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNP/767 | 2009 |
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023212008007053 |
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中分セ 研究室 | 421.5/Mi 23 | 2009 |
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095212008000474 |
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書誌詳細
一般注記 | Includes bibliographical references and index HTTP:URL=http://dx.doi.org/10.1007/978-3-540-88111-7 |
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著者標目 | Mikhailov, A. (Alexander) V., 1947- |
件 名 | LCSH:Mathematical physics LCSH:Integral equations |
分 類 | LCC:QA401 DC22:530.15545 |
書誌ID | 1001242826 |
ISBN | 9783540881100 |
NCID | BA88172525 |
URL | |
巻冊次 | ISBN:9783540881100 |
登録日 | 2009.09.18 |
更新日 | 2009.11.02 |