Soliton Equations and Their Algebro-Geometric Solutions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Soliton Equations and Their Algebro-Geometric Solutions

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Gesztesy, Fritz/ Holden, Helge/ Michor, Johanna/ Teschl, Gerald 作者
譯者
2008-9 出版日期
448 頁數
$ 192.10 價格
叢書系列
9780521753081 圖書編碼

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Soliton Equations and Their Algebro-Geometric Solutions 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Soliton Equations and Their Algebro-Geometric Solutions 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Soliton Equations and Their Algebro-Geometric Solutions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Soliton Equations and Their Algebro-Geometric Solutions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Soliton Equations and Their Algebro-Geometric Solutions 在線電子書 圖書描述

As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.

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