  In this letter, we report the existence of a novel type of explode-decay
dromions, which are exponentially localized coherent structures whose amplitude
varies with time, through Hirota method for a nonisospectral Davey-Stewartson
equation I discussed recently by Jiang. Using suitable transformations, we also
point out such solutions also exist for the isospectral Davey-Stewartson I
equation itself for a careful choice of the potentials.
