Small forcing keeps KdV solitons near a time-varying traveling-wave family with high probability, and the amplitude's effective drift is given by an explicit stochastic differential equation.
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Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation
Small forcing keeps KdV solitons near a time-varying traveling-wave family with high probability, and the amplitude's effective drift is given by an explicit stochastic differential equation.