Resonant nonlinearity management for nonlinear Schrödinger solitons

Hidetsugu Sakaguchi, Boris A. Malomed

    Research output: Contribution to journalArticlepeer-review

    36 Citations (Scopus)

    Abstract

    A model based on the nonlinear Schrödinger (NLS) equation which describes a attractive Bose-Einstein condensate (BEC) in a quasi-1D trap, was presented. The model described the nonlinearity management in a periodically inhomogeneous optical waveguides. The response of a fundamantal soliton in the form of temporal beating of its amplitude to the weak ac perturbation was resonant when the driving frequency ω was close to the soliton's intrinsic frequency. Analysis shows that a slightly stronger drive give rise to splitting of the 2- and 3-solitons into sets of two or three moving fundamental solitons.

    Original languageEnglish
    Article number066613
    Pages (from-to)066613/1-066613/7
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume70
    Issue number6 2
    DOIs
    Publication statusPublished - Dec 2004

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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