Nonlinear Waves and Solitons on Contours and Closed Surfaces

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The present 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 introduce...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ludu, Andrei (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Springer Series in Synergetics,
Temas:
System theory.
Dynamical systems.
Mechanics.
Geometry, Differential.
Mathematical physics.
Continuum mechanics.
Complex Systems.
Dynamical Systems.
Classical Mechanics.
Differential Geometry.
Mathematical Methods in Physics.
Continuum Mechanics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Mathematical Prerequisites
  • 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
  • Solitons and Nonlinear Waves on Closed Curves and 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
  • Physical Nonlinear Systems at Different Scales
  • Filaments, Chains, and Solitons
  • Solitons on the Boundaries of Microscopic Systems
  • Nonlinear Contour Dynamics in Macroscopic Systems
  • Mathematical Annex.

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