Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Synergetics (SSSYN)
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Table of contents (18 chapters)
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Solitons and Nonlinear Waves on Closed Curves and Surfaces
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Physical Nonlinear Systems at Different Scales
Keywords
About this book
Reviews
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)
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Nonlinear Waves and Solitons on Contours and Closed Surfaces
Authors: Andrei Ludu
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-540-72873-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Softcover ISBN: 978-3-642-09196-4Published: 30 November 2010
eBook ISBN: 978-3-540-72873-3Published: 09 September 2007
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 1
Number of Pages: XX, 466
Number of Illustrations: 140 b/w illustrations
Topics: Complex Systems, Dynamical Systems and Ergodic Theory, Classical Mechanics, Differential Geometry, Mathematical Methods in Physics, Fluid- and Aerodynamics