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Soliton equations and their algebro-...

Gesztesy, Fritz, (1953-)

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Soliton equations and their algebro-geometric solutions.. Volume 2,. (1 + 1)-dimensional discrete models

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Soliton equations and their algebro-geometric solutions./ Fritz Gesztesy ... [et al.].
其他題名:	Soliton Equations & Their Algebro-Geometric Solutions
其他作者:	Gesztesy, Fritz,
出版者:	Cambridge :Cambridge University Press, : 2008.,
面頁冊數:	x, 438 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Differential equations, Nonlinear - Numerical solutions. -
電子資源:	https://doi.org/10.1017/CBO9780511543203
ISBN:	9780511543203

Soliton equations and their algebro-geometric solutions.. Volume 2,. (1 + 1)-dimensional discrete models
Soliton equations and their algebro-geometric solutions.Volume 2,(1 + 1)-dimensional discrete models[electronic resource] /Soliton Equations & Their Algebro-Geometric SolutionsFritz Gesztesy ... [et al.]. - Cambridge :Cambridge University Press,2008. - x, 438 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;114. - Cambridge studies in advanced mathematics ;114..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511543203Subjects--Topical Terms:

596338
Differential equations, Nonlinear
--Numerical solutions.

LC Class. No.: QC20.7.D5

Dewey Class. No.: 530.155355

Soliton equations and their algebro-geometric solutions.. Volume 2,. (1 + 1)-dimensional discrete models
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