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Книги на английски > Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations > Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models

Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models

Name: Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models
Brand: Cambridge University Press
SKU: 02041961
Price: 199.32 EUR
Availability: InStock
Author: Gesztesy
ISBN: 9780521753074

Gesztesy

Fritz (University of Missouri

Columbia)

Holden

Helge (Norwegian University of Science and Technology

Trondheim)

Език

Английски език

Книга С твърди корици

Код Либристо: 02041961

Издателство Cambridge University Press, юни 2003

The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial... Цялото описание

Код Либристо: 02041961

486 b

199.32 €

389.83 лв

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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.