Soliton Equations and their Algebro-Geometric Solutions:...

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Soliton Equations and their Algebro-Geometric Solutions: Volume 1

Name: Soliton Equations and their Algebro-Geometric Solutions: Volume 1
ISBN: 9780521753074

Fritz Gesztesy, Helge Holden

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This book is about 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 and 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).

Kategorien:

Mathematics

Jahr:

2003

Auflage:

CUP

Verlag:

Cambridge University Press

Sprache:

english

Seiten:

519