Nonlinear waves and solitons on contours and closed surfaces [electronic resource]

• 作者： Ludu, Andrei.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Springer series in synergetics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 版本：Third edition.
• 叢書名： Springer series in synergetics,
• 主題： Nonlinear waves--Mathematics. , Solitons--Mathematics. , Compact spaces.
• ISBN： 9783031146411 (electronic bk.) 、 9783031146404 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Topology and Algebra -- Vector Fields, Di?erential Forms, and Derivatives -- The Importance of the Boundary -- Geometry of Curves -- Geometry of Surfaces -- Motion of Curves and Solitons -- Kinematics of Fluids -- Hydrodynamics.
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• 摘要註: 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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