Overview
- Newly includes recent work on motion of solitons and of surfaces as well as 3D waves
- Provides the necessary mathematical framework for treating the manifolds considered with relevant notions from topology
- Applies the theory to many concrete examples appearing in the physical and related sciences
Part of the book series: Springer Series in Synergetics (SSSYN)
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Table of contents (19 chapters)
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Mathematical Prerequisites
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Curves and Surfaces
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Solitons and Nonlinear Waves on Closed Curves and Surfaces
Keywords
About this book
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.
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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/10.1007/978-3-031-14641-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-14640-4Published: 05 November 2022
Softcover ISBN: 978-3-031-14643-5Published: 06 November 2023
eBook ISBN: 978-3-031-14641-1Published: 04 November 2022
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 3
Number of Pages: XXXII, 566
Number of Illustrations: 103 b/w illustrations, 68 illustrations in colour
Topics: Classical and Continuum Physics, Differential Geometry, Mathematical Methods in Physics, Mathematical Physics, Surface and Interface Science, Thin Films