Sasa-Satsuma equation: Soliton on a background and its limiting cases

U. Bandelow*, N. Akhmediev

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    95 Citations (Scopus)


    We present a multiparameter family of a soliton on a background solution to the Sasa-Satsuma equation. The solution is controlled by a set of several free parameters that control the background amplitude as well as the soliton itself. This family of solutions admits a few nontrivial limiting cases that are considered in detail. Among these special cases is the nonlinear Schrödinger equation limit and the limit of rogue wave solutions.

    Original languageEnglish
    Article number026606
    JournalPhysical Review E
    Issue number2
    Publication statusPublished - 27 Aug 2012


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