Nonlinear Waves and Solitons on Contours and Closed Surfaces

By Andrei Ludu

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3642440517
• ISBN13: 9783642440519
• Release Date: February 2014
• Publisher: Springer
• Length: 490 Pages
• Weight: 1.54 lbs.
• Dimensions: 1.1" x 6.1" x 9.0"