The reduced Maxwell-Duffing description of extremely short pulses in non-resonant media

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dc.creatorKazantseva, Elena V.
dc.creatorMaimistov, Andrei I.
dc.creatorCaputo, Jean-Guy
dc.date2003-09-22
dc.date.accessioned2026-07-07T05:34:58Z
dc.date.available2026-07-07T05:34:58Z
dc.descriptionThe propagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of a model where the material medium is represented by anharmonic oscillators with cubic nonlinearities (Duffing model) and waves can propagate only in the right direction. The system of reduced Maxwell-Duffing equations admits two families of exact analytical solutions in the form of solitary waves. These are bright spikes propagating on a zero background, and bright and dark spikes, propagating on a nonzero background. Direct simulations demonstrate that these pulses are very robust against perturbations. We find that a high frequency modulated electromagnetic pulse evolves into a breather-like one. Conversely a low frequency pulse transforms into a quasi-harmonic wave.
dc.descriptionpdf-file, 18 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/nlin/0309057
dc.identifierhttp://arxiv.org/abs/nlin/0309057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80566
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe reduced Maxwell-Duffing description of extremely short pulses in non-resonant media
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