  The peculiar intergrability of the Davey-Stewartson equation allows us to
find analytically solutions describing the simultaneous formation and
interaction of one-dimensional and two-dimensional localized coherent
structures. The predicted phenomenology allows us to address the issue of
interaction of solitons of different dimensionality that may serve as a
starting point for the understanding of hybrido-dimensional collisions recently
observed in nonlinear optical media.
