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Dark- and bright-rogue-wave solutions for media with long-wave-short-wave resonance

AuthorsChen, S.; Grelu, P.; Soto Crespo, J. M.
Issue Date2014
PublisherAmerican Physical Society
CitationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics 89: 011201(R) (2014)
AbstractExact explicit rogue-wave solutions of intricate structures are presented for the long-wave-short-wave resonance equation. These vector parametric solutions feature coupled dark- and bright-field counterparts of the Peregrine soliton. Numerical simulations show the robustness of dark and bright rogue waves in spite of the onset of modulational instability. Dark fields originate from the complex interplay between anomalous dispersion and the nonlinearity driven by the coupled long wave. This unusual mechanism, not available in scalar nonlinear wave equation models, can provide a route to the experimental realization of dark rogue waves in, for instance, negative index media or with capillary-gravity waves. © 2014 American Physical Society.
Description5 pags.; 5 figs.; PACS number(s): 46.40.−f, 47.20.Ky, 47.35.−i, 47.52.+j
Identifiersdoi: 10.1103/PhysRevE.89.011201
issn: 1539-3755
Appears in Collections:(CFMAC-IO) Artículos
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