书目名称 | Nonlinear Waves and Solitons on Contours and Closed Surfaces |
编辑 | Andrei Ludu |
视频video | |
概述 | 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 topo |
丛书名称 | Springer Series in Synergetics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2022Latest edition |
关键词 | Closed Curves and Surfaces; Compact Boundaries and Surfaces; Contour Dynamics; Introduction Soliton The |
版次 | 3 |
doi | https://doi.org/10.1007/978-3-031-14641-1 |
isbn_softcover | 978-3-031-14643-5 |
isbn_ebook | 978-3-031-14641-1Series ISSN 0172-7389 Series E-ISSN 2198-333X |
issn_series | 0172-7389 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |