Effect of a localized random forcing term on the Korteweg-de Vries equation
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