A one- and two-dimensional nonlinear pulse interaction

Authors
Ciattoni, A Degasperis, A DelRe, E
Citation
A. Ciattoni et al., A one- and two-dimensional nonlinear pulse interaction, PHYS REV E, 61(5), 2000, pp. R4714-R4717
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
5
Year of publication
2000
Part
A
Pages
R4714 - R4717
Database
ISI
SICI code
1063-651X(200005)61:5<R4714:AOATNP>2.0.ZU;2-Q
Abstract
The peculiar intergrability of the Davey-Stewartson equation allows us to a nalytically find solutions describing the simultaneous formation and intera ction 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 i n nonlinear optical media.