The peculiar intergrability of the Davey-Stewartson equation allows us to analytically find 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 one- and two-dimensional nonlinear pulse interaction / A., Ciattoni; A., Degasperis; DEL RE, Eugenio. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - STAMPA. - 61:5 A(2000), pp. R4714-R4717. [10.1103/physreve.61.r4714]

A one- and two-dimensional nonlinear pulse interaction

DEL RE, EUGENIO
2000

Abstract

The peculiar intergrability of the Davey-Stewartson equation allows us to analytically find 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.
2000
coherent structures; davey-stewartson equation; nonlinear waves; solitons
01 Pubblicazione su rivista::01a Articolo in rivista
A one- and two-dimensional nonlinear pulse interaction / A., Ciattoni; A., Degasperis; DEL RE, Eugenio. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - STAMPA. - 61:5 A(2000), pp. R4714-R4717. [10.1103/physreve.61.r4714]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/490583
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