NonlinearWaves and Solitons on Contours and Closed Surfaces

  • Andrei┬áLudu

Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Mathematical Prerequisites

  3. Solitons and Nonlinear Waves on Closed Curves and Surfaces

  4. Physical Nonlinear Systems at Different Scales

  5. Back Matter
    Pages 453-464

About this book


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 introduces the mathematical concept required for treating the manifolds considered. Emphasis on the relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given.

The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics.

Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and reference


Soliton closed curves contour dynamics differential geometry dynamische Systeme geometry manifold modeling nonlinear waves solitons surface waves

Authors and affiliations

  • Andrei┬áLudu
    • 1
  1. 1.Department of Chemistry and PhysicsNorthwestern State UniversityNatchitochesUSA

Bibliographic information