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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Soliton equations and their algebro-geometric solutions./ Fritz Gesztesy, Helge Holden.
remainder title:	Soliton Equations & their Algebro-Geometric Solutions
Author:	Gesztesy, Fritz,
other author:	Holden, Helge,
Description:	1 online resource (xii, 505 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Differential equations, Nonlinear - Numerical solutions. -
Online resource:	https://doi.org/10.1017/CBO9780511546723
ISBN:	9780511546723 (ebook)

Soliton equations and their algebro-geometric solutions.. Volume 1,. (1 + 1)-dimensional continuous models /
Gesztesy, Fritz,1953-

Soliton equations and their algebro-geometric solutions.Volume 1,(1 + 1)-dimensional continuous models /Soliton Equations & their Algebro-Geometric SolutionsFritz Gesztesy, Helge Holden. - 1 online resource (xii, 505 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;79. - Cambridge studies in advanced mathematics ;134..

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

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.

ISBN: 9780511546723 (ebook)Subjects--Topical Terms:

677362
Differential equations, Nonlinear
--Numerical solutions.

LC Class. No.: QC20.7.D5 / G47 2003

Dewey Class. No.: 530.15/5355

Soliton equations and their algebro-geometric solutions.. Volume 1,. (1 + 1)-dimensional continuous models /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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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