Soliton Equations and Their Algebro-Geometric Solutions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Gesztesy, Fritz/ Holden, Helge 作者

Cambridge Univ Pr

译者

2003-6 出版日期

518 页数

$ 196.62 价格

HRD

丛书系列

9780521753074 图书编码

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Soliton Equations and Their Algebro-Geometric Solutions 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Soliton Equations and Their Algebro-Geometric Solutions 在线电子书图书描述

The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions, also known as soliton equations. Explicitly treated integrable models 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 as well as 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). The presentation is rigorous, detailed, and self-contained, with ample background material provided in various appendices. Detailed notes for each chapter together with an exhaustive bibliography enhance the presentation offered in the main text.

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