Effect of a Localized Random Forcing Term on the Korteweg-De Vries Equation |
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| Authors: | Arnaud Debussche Jacques Printems |
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| Affiliation: | (1) Laboratorie d'Analyse Numérique et EDP d'Orsay, Université Paris-Sud et CNRS, Bâtiment 425, 91045 Orsay Cedex, France;(2) Laboratorie d'Analyse, Géométrie et Applications, Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France |
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| 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. |
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| Keywords: | Korteweg-de Vries equation solitons least squares finite element method random waves water waves |
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