Dromion can be remote-controlled

Abstract

The one-dromion solution of the Davey-Stewartson 1 equations with driving boundaries is analysed numerically. It is shown that the dromion can follow the motion of the crosspoint of the mean flows even if it is not of exact solutions. Moreover, it is found that the localized structure keeps its shape when it is exposed to the `forced' motion of the mean flows. In the case where dromion runs on a circle path, the decay ratio of the localized structure versus the radius is given. Several types of movement of mean flows are also studied. It is expected that dromion can be controlled arbitrarily by driving mean flows at the boundaries.