Abstract
The effect of additive coloured noises, which are correlated intime, on one-dimensional travelling waves in the complexGinzburg–Landau equation is studied by numerical simulations. Wefound that a small coloured noise with temporal correlation couldconsiderably influence the stability of one-dimensional wave trains.There exists an optimal temporal correlation of noise where travellingwaves are the most vulnerable. To elucidate the phenomena, westatistically calculated the convective velocities Vg of the wavepackets, and found that the coloured noise with an appropriatetemporal correlation can decrease Vg, making the systemconvectively more unstable.
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