Explode-decay dromions in the non-isospectral Davey-Stewartson I (DSI) equation
arXiv:math/9904188 · doi:10.2991/jnmp.1999.6.2.1
Abstract
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.