Nonlinear Waves and Solitons on Contours and Closed Surfaces

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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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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, 2012.
Edición:2nd ed. 2012.
Colección:Springer Series in Synergetics,
Temas:
Nonlinear Optics.
Geometry, Differential.
Mathematical physics.
Continuum mechanics.
Soft condensed matter.
Surfaces (Physics).
Differential Geometry.
Mathematical Methods in Physics.
Continuum Mechanics.
Soft and Granular Matter.
Surface and Interface and Thin Film.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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