One-Two Dimensional Nonlinear Pulse Interaction
Pattern Formation and Solitons
2009-10-31 v1 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.nlin/0001005,
title = {One-Two Dimensional Nonlinear Pulse Interaction},
author = {A. Ciattoni and A. Degasperis and E. DelRe},
journal= {arXiv preprint arXiv:nlin/0001005},
year = {2009}
}
Comments
11 pages + 4 figures