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Nonlinear Waves and Solitons on Contours and Closed Surfaces

BuchKartoniert, Paperback
466 Seiten
Englisch
Springererschienen am30.11.2010
Everything the Power of the World does is done in a circle.mehr
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BuchKartoniert, Paperback
EUR106,99
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EUR53,49
BuchGebunden
EUR160,49
BuchKartoniert, Paperback
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Produkt

KlappentextEverything the Power of the World does is done in a circle.
Zusammenfassung
Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-642-09196-4
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2010
Erscheinungsdatum30.11.2010
ReiheSpringer Series in Synergetics
Seiten466 Seiten
SpracheEnglisch
Gewicht733 g
IllustrationenXX, 466 p. 140 illus.
Artikel-Nr.10262954

Inhalt/Kritik

Inhaltsverzeichnis
Mathematical Prerequisites.- Mathematical Prerequisites.- The Importance of the Boundary.- Vector Fields, Differential Forms, and Derivatives.- Geometry of Curves.- Motion of Curves and Solitons.- Geometry of Surfaces.- Theory of Motion of Surfaces.- Solitons and Nonlinear Waves on Closed Curves and Surfaces.- Kinematics of Hydrodynamics.- Dynamics of Hydrodynamics.- Nonlinear Surface Waves in One Dimension.- Nonlinear Surface Waves in Two Dimensions.- Nonlinear Surface Waves in Three Dimensions.- Other Special Nonlinear Compact Systems.- Physical Nonlinear Systems at Different Scales.- Filaments, Chains, and Solitons.- Solitons on the Boundaries of Microscopic Systems.- Nonlinear Contour Dynamics in Macroscopic Systems.- Mathematical Annex.mehr
Kritik
From the reviews:

"The author succeeds in writing a monograph which introduces the physics of solitons on compact systems to readers who may not have any such prior knowledge. ... The text is suitable for a graduate course on special topics or it can be used by readers with various backgrounds and interests who simply want to understand the connections between geometry and the phenomena of nonlinear waves." (Alina Stancu, Zentralblatt MATH, Vol. 1167, 2009)mehr

Schlagworte

Autor

Nonlinear and solitary waves are historically related to quasi one-dimensional systems where the spatial extent in one direction is much bigger than in the other direction, such as channels and fibres. The present book treats the case of more compact systems and their nonlinear ascillations, which have only recently come into forms. Such systems include liquid drop models, Bose-Einstein condensates and even living cells. A general formalism is developed, based on the differential geometry of curved manifolds, and various applications are considered in the physical sciences and beyond.