Advertisement

Introduction

  • Oleg M. Braun
  • Yuri S. Kivshar
Chapter
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

This introductory chapter is intended to provide a general overview of the classical formulation of the Frenkel-Kontorova model and its continuum version, the sine-Gordon equation. The chapter introduces also the fundamental modes of the model, phonons, kinks, and breathers, and describes some of their general properties. It also provides the background for the subsequent discussion of the basic physical systems where the nonlinear dynamics is described by the Frenkel-Kontorova model and its generalizations.

Keywords

Topological Charge Substrate Potential Energy Static Kink Nonlinear Partial Differential Equa Constant Negative Gaussian Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Oleg M. Braun
    • 1
  • Yuri S. Kivshar
    • 2
  1. 1.Institute of PhysicsUkrainian Academy of SciencesKievUkraine
  2. 2.Research School of Physical Sciences and EngineeringAustralian National UniversityCanberraAustralia

Personalised recommendations