One-Two Dimensional Nonlinear Pulse Interaction

Details One-Two Dimensional Nonlinear Pulse Interaction One-Two Dimensional Nonlinear Pulse Interaction

2000-01-04

arxiv.org/abs/nlin/0001005v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages + 4 figures

Scientific paper

10.1103/PhysRevE.61.R4714

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.

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