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Science/Engineering Nonlinear Waves and Solitons on Contours and Closed Surfaces

Posted on 2010-03-15




Name:Science/Engineering Nonlinear Waves and Solitons on Contours and Closed Surfaces
ASIN/ISBN:3540728724
Language:English
File size:14 Mb
Publish Date: 2007-11-28
ISBN: 3540728724
Pages: 466 pages
File Type: PDF
File Size: 14 MB
Other Info: Springer
   Science/Engineering Nonlinear Waves and Solitons on Contours and Closed Surfaces

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Andrei Ludu "Nonlinear Waves and Solitons on Contours and Closed Surfaces"

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.

This book is intended for graduate students and researchers in mathematics, physics and engineering.

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