Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics) - Hardcover

Ludu, Andrei

 
9783540728726: Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics)
Hardcover
ISBN 10: 3540728724 ISBN 13: 9783540728726
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2007

Inhaltsangabe

The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The first part of the book introduces the mathematical concept required for treating the manifolds considered. An introduction to the theory of motion of curves and surfaces is given. The second and third parts discuss the modeling of various physical solitons on compact systems.

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Über die Autorin bzw. den 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.

Von der hinteren Coverseite

The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems.The first part of the book introduces the mathematical concept required for treating the manifolds considered. Emphasis on the relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given.The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics.Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and reference

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Verlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
3540728724
ISBN 13 
9783540728726
Einband
Tapa dura
Anzahl der Seiten
486
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9783642228940: Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics)

Vorgestellte Ausgabe

ISBN 10:  3642228941 ISBN 13:  9783642228940
Verlag: Springer, 2012
Hardcover