Nonlinear waves and solitons on contours and closed surfaces

著者

• Ludu, Andrei

書誌事項

Nonlinear waves and solitons on contours and closed surfaces

Andrei Ludu

（Springer series in synergetics）（Springer complexity）

Springer, c2007

注記

Includes bibliographical references (p. 453-460) and index

内容説明・目次

内容説明

The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The first part of the book introduces the mathematical concept required for treating the manifolds considered. An introduction to the theory of motion of curves and surfaces is given. The second and third parts discuss the modeling of various physical solitons on compact systems.

目次

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 One-Dimension.- Nonlinear Surface Waves in Two-Dimensions.- Nonlinear Surface Waves in Three-Dimensions.- 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA83264819
• ISBN:
  • 9783540728726
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: xix, 464 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BA00004912
  • BA69338085