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


Soliton Equations and Their Algebro-Geometric Solutions

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Gesztesy, Fritz/ Holden, Helge
Cambridge Univ Pr
2003-6
518
$ 196.62
HRD
9780521753074

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发表于2024-11-04

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

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

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



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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.

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

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