Soliton Equations and Their Algebro-Geometric Solutions: 1 + 1-dimensional Descrete Models: 114 (Cambridge Studies in Advanced Mathematics, Series Number 114) - Image 1

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Cambridge University Press Soliton Equations and Their Algebro-Geometric Solutions: 1 + 1-dimensional Descrete Models: 114 (Cambridge Studies in Advanced Mathematics, Series Number 114)

Name: Soliton Equations and Their Algebro-Geometric Solutions: 1 + 1-dimensional Descrete Models: 114 (Cambridge Studies in Advanced Mathematics, Series Number 114)
Brand: Cambridge University Press
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Differential Equations

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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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Used Book in Good Condition

brand: Cambridge University Press

manufacturer: Cambridge University Press

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521753082
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 04 September 2008
Listed Since: 19 October 2006

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Cambridge University Press Soliton Equations and Their Algebro-Geometric Solutions: 1 + 1-dimensional Descrete Models: 114 (Cambridge Studies in Advanced Mathematics, Series Number 114)

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