Stabilization of ultra-short pulses in cubic nonlinear media

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dc.creatorChung, Y.
dc.creatorSchaefer, T.
dc.date2005-12-13
dc.date2006-04-07
dc.date.accessioned2026-07-07T06:55:56Z
dc.date.available2026-07-07T06:55:56Z
dc.descriptionWe study the propagation of ultra-short pulses in a cubic nonlinear medium. Using multiple-scale technique, we derive a new wave equation that preserves the nonlocal dispersion present in Maxwell's equations. As a result, we are able to understand how ultra-short nonlinear shocks are stabilized by dispersive terms. A delicate balance between dispersion and nonlinearity leads to a new type of solitary waves. Their stability is confirmed by numerical simulations of full Maxwell's equations.
dc.identifierhttps://arxiv.org/abs/nlin/0512029
dc.identifierhttp://arxiv.org/abs/nlin/0512029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106453
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleStabilization of ultra-short pulses in cubic nonlinear media
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