Description 
1 online resource (xviii, 489 pages) : illustrations 
Series 
Springer series in synergetics, 01727389 

Springer complexity 

Springer series in synergetics (Unnumbered)


Springer complexity

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 
Summary 
Annotation This 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, providing 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. This new edition has been thoroughly revised, expanded and updated 
Analysis 
Physics 

Global differential geometry 

Mathematical physics 

Nonlinear Dynamics 

Differential Geometry 

Mathematical Methods in Physics 

Fluid and Aerodynamics 

Soft and Granular Matter, Complex Fluids and Microfluidics 

Surface and Interface Science, Thin Films 
Bibliography 
Includes bibliographical references and index 
Subject 
Nonlinear waves  Mathematics


Solitons  Mathematics


Compact spaces.


SCIENCE  Waves & Wave Mechanics.


Physique.


Astronomie.


Compact spaces.


Nonlinear waves  Mathematics.


Solitons  Mathematics.

Form 
Electronic book

ISBN 
9783642228957 

364222895X 

3642228941 

9783642228940 
