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Some Aspects of Soliton Dynamics

Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)

Abstract

It is about 30 years since the recent study of nonlinear waves started with the work by FERMI et al. [1]. They numerically integrated the equations of motion of certain one-dimensional nonlinear lattices, and found recurrence to initial state at least for small nonlinearity and smooth initial excitation. The idea that for sufficiently smooth waves, a lattice can be approximated by a continuum led ZABUSKY and KRUSKAL [2] to the numerical study of the Korteweg-de Vries equation
$$\partial u/\partial t + u\partial u/\partial x + {\delta ^2}{\partial ^3}u/\partial {x^3} = 0.$$
(1)

Keywords

Soliton Solution Nonlinear Evolution Equation Solitary Wave Solution Cnoidal Wave Infinite Lattice 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • M. Toda
    • 1
  1. 1.Shibuya-ku, Tokyo 151Japan

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