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    Item type:Publication, Access status: without files ,
    Rogue wave spectra of the Sasa-Satsuma equation
    (Elsevier, 2014-12-05)
    Akhmediev, Nail N.
    ;
    Soto-Crespo, José M.
    ;
    Devine, Natasha
    ;
    Hoffmann, Norbert
    We analyze the rogue wave spectra of the Sasa-Satsuma equation and their appearance in the spectra of chaotic wave fields produced through modulation instability. Chaotic wave fields occasionally produce high peaks that result in a wide triangular spectrum, which could be used for rogue wave detection.
    Publicationtype: Journal Article
      29
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    Item type:Publication, Access status: without files ,
    Rogue waves of the Sasa-Satsuma equation in a chaotic wave field
    (American Physical Society (APS), 2014-09-02)
    Soto-Crespo, José M.
    ;
    Devine, Natasha
    ;
    Hoffmann, Norbert
    ;
    Akhmediev, Nail N.
    We study the properties of the chaotic wave fields generated in the frame of the Sasa-Satsuma equation (SSE). Modulation instability results in a chaotic pattern of small-scale filaments with a free parameter - the propagation constant k. The average velocity of the filaments is approximately given by the group velocity calculated from the dispersion relation for the plane-wave solution. Remarkably, our results reveal the reason for the skewed profile of the exact SSE rogue-wave solutions, which was one of their distinctive unexplained features. We have also calculated the probability density functions for various values of the propagation constant k, showing that probability of appearance of rogue waves depends on k.
    Publicationtype: Journal Article
    Scopus© Citations 48  44
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    Item type:Publication, Access status: without files ,
    Double peak rogue waves of the Sasa-Satsuma equation in a chaotic wave field
    (Optical Society of America (OSA), 2014-05-14)
    Soto-Crespo, J. M.
    ;
    Devine, N.
    ;
    Hoffmann, N. P.
    ;
    Akhmediev, N.
    We study the properties of the chaotic wave fields generated in the frame of the Sasa-Satsuma equation, and analyze the presence of rogue waves in them. Our results also reveal the reason for the skewed profile of the exact rogue wave solutions. © 2014 OSA.
    Publicationtype: Conference Paper
      26