Effect of a Localized Random Forcing Term on the Korteweg-De Vries Equation

  • Arnaud Debussche
  • Jacques Printems

Abstract

In this work, we numerically investigate the influence of a white noise-type forcing on the phenomenon of forced generation of solitons by a localized moving disturbance. Our numerical method is based on finite elements and least-squares. We present numerical experiments for different values of noise amplitude and Froude number, which describe some damping effects on the emission of solitons.

Korteweg-de Vries equation solitons least squares finite element method random waves water waves 

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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • Arnaud Debussche
    • 1
  • Jacques Printems
    • 2
  1. 1.Laboratorie d'Analyse Numérique et EDP d'OrsayUniversité Paris-Sud et CNRSOrsay CedexFrance
  2. 2.Laboratorie d'Analyse, Géométrie et Applications, Institut GaliléeUniversité Paris-NordVilletaneuseFrance

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