UID:
almahu_9949406999402882
Format:
XXXII, 566 p. 171 illus., 68 illus. in color.
,
online resource.
Edition:
3rd ed. 2022.
ISBN:
9783031146411
Series Statement:
Springer Series in Synergetics,
Content:
This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book 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.
Note:
Introduction -- Topology and Algebra -- Vector Fields, Differential Forms, and Derivatives -- The Importance of the Boundary -- Geometry of Curves -- Geometry of Surfaces -- Motion of Curves and Solitons -- Kinematics of Fluids -- Hydrodynamics.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783031146404
Additional Edition:
Printed edition: ISBN 9783031146428
Additional Edition:
Printed edition: ISBN 9783031146435
Language:
English
DOI:
10.1007/978-3-031-14641-1
URL:
https://doi.org/10.1007/978-3-031-14641-1
URL:
Volltext
(URL des Erstveröffentlichers)
