One-Two Dimensional Nonlinear Pulse Interaction
  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. 
A. Ciattoni (1), A. Degasperis (2), and E. DelRe (3) ((1) Dipartimento   di Fisica- Univ. dell'Aquila and INFM - Roma1, (2) ...