Nonlinear waves and solitons on contours and closed surfaces
 Author/Creator
 Ludu, Andrei.
 Language
 English.
 Imprint
 Berlin ; New York : Springer, c2007.
 Physical description
 xviii, 464 p. : ill. ; 24 cm.
 Series

Springer series in synergetics (Unnumbered)
Springer complexity.
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QA927 .L83 2007

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QA927 .L83 2007
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 453460).
 Contents

 Introduction. 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. Kinematics of Hydrodynamics. Dynamics of Hydrodynamics. Nonlinear Surface Waves in OneDimension. Nonlinear Surface Waves in TwoDimensions. Nonlinear Surface Waves in ThreeDimensions. Other Special Nonlinear Compact Systems. Filaments, Chains and Solitons. Solitons on the Boundaries of Microscopic Systems. Nonlinear Contour Dynamics in Macroscopic Systems. Mathematical Annex. References. Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 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. 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. This title places 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2007
 Responsibility
 Andrei Ludu.
 Series
 Springer complexity
 Springer series in synergetics, 01727389
 ISBN
 9783540728726
 3540728724