Resonances of Solitons and `Dromions'

Abstract

`Dromions' are exact, localized solutions of higher dimensional evolution equations decaying exponentially in all directions. They travel along tracks provided by the solitons of the auxiliary fields. When the solitons exhibit resonance the status of the dromions will be in doubt. This phenomenon is investigated by two well known model evolution equations. Possible results include a drastic attenuation in amplitude and a mode transformation.