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One-Two Dimensional Nonlinear Pulse Interaction

A. Ciattoni·A. Degasperis·E. DelRe
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Abstract

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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A. Ciattoni, A. Degasperis, E. DelRe. 2000-01-04. One-Two Dimensional Nonlinear Pulse Interaction. https://doi.org/10.1103/physreve.61.r4714

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