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Nonlinear Waves and Solitons on Contours and Closed Surfaces

This volume 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 m...

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Bibliographic Details
Main Author: Ludu, Andrei
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012, 2012
Edition:2nd ed. 2012
Series:Springer Series in Synergetics
Subjects:
Soft And Granular Matter
Surface And Interface And Thin Film
Geometry, Differential
Nonlinear Optics
Continuum Mechanics
Mathematical Physics
Differential Geometry
Soft Condensed Matter
Mathematical Methods In Physics
Surfaces (physics)
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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

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