Breather-to-soliton conversions described by the quintic equation of the nonlinear Schrödinger hierarchy

A. Chowdury, D. J. Kedziora, A. Ankiewicz, N. Akhmediev

    Research output: Contribution to journalArticlepeer-review

    146 Citations (Scopus)

    Abstract

    We analyze the quintic integrable equation of the nonlinear Schrödinger hierarchy that includes fifth-order dispersion with matching higher-order nonlinear terms. We show that a breather solution of this equation can be converted into a nonpulsating soliton solution on a background. We calculate the locus of the eigenvalues on the complex plane which convert breathers into solitons. This transformation does not have an analog in the standard nonlinear Schrödinger equation. We also study the interaction between the new type of solitons, as well as between breathers and these solitons.

    Original languageEnglish
    Article number032928
    JournalPhysical Review E
    Volume91
    Issue number3
    DOIs
    Publication statusPublished - 30 Mar 2015

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