Propagation of exremely short pulses in non-resonant media: the total Maxwell-Duffing model

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dc.creatorMaimistov, Andrei I.
dc.creatorCaputo, Jean-Guy
dc.date2003-09-04
dc.date.accessioned2026-07-07T05:34:55Z
dc.date.available2026-07-07T05:34:55Z
dc.descriptionPropagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of the total Maxwell-Duffing model where anharmonic oscillators with cubic nonlinearities (Duffing model) represent the material medium and wave propagation is governed by the 1-d bidirectional Maxwell equations. This system of equations has a one parameter family of exact analytical solutions representing an electromagnetic spike propagating on a zero or a nonzero background. We find that the total Maxwell-Duffing equations can be written as a system in bilinear form and that the one-soliton solution of this system coincides with the steady state solution obtained previously.
dc.description15 pages, submited into Physica D
dc.identifierhttps://arxiv.org/abs/nlin/0309012
dc.identifierhttp://arxiv.org/abs/nlin/0309012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80552
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titlePropagation of exremely short pulses in non-resonant media: the total Maxwell-Duffing model
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