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<図書>
Integrability

責任表示 A.V. Mikhailov (ed.)
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
Painlevé 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



理系図3F 数理独自 SER/LNP/767 2009
023212008007053


中分セ 研究室 421.5/Mi 23 2009
095212008000474

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
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

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