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<図書>
(1 + 1)-dimensional continuous models

責任表示 Fritz Gesztesy, Helge Holden
シリーズ Cambridge studies in advanced mathematics ; 79 . Soliton equations and their algebro-geometric solutions ; v. 1
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 2003
本文言語 英語
大きさ xii, 505 p. ; 24 cm
概要 This book is about algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions; also known as soliton equations. Explicitly treated integrable mod...ls include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary and time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces). 続きを見る
目次 v. 1. (1 + 1)-dimensional continuous models
v. 2. (1 + 1)-dimensional discrete models.
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所蔵情報


理系図3F 数理独自 023212003000025 GESZ/5/1-1 2003

書誌詳細

一般注記 Includes bibliographical references (p. 469-499) and index
著者標目 *Gesztesy, Fritz, 1953-
Holden, H. (Helge), 1956-
件 名 LCSH:Differential equations, Nonlinear -- Numerical solutions  全ての件名で検索
LCSH:Solitons
分 類 LCC:QC20.7.D5
DC21:530.15/5355
書誌ID 1001385854
ISBN 0521753074
NCID BA62118728
巻冊次 : hardback ; ISBN:0521753074 ; XISBN:9780521753074
登録日 2009.11.02
更新日 2017.03.14

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