Full-time dynamics of modulational instability in spinor Bose-Einstein condensates

Evgeny V. Doktorov*, Vassilis M. Rothos, Yuri S. Kivshar

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    19 Citations (Scopus)

    Abstract

    We describe the full-time dynamics of modulational instability in F=1 spinor Bose-Einstein condensates for the case of the integrable three-component model associated with the matrix nonlinear Schrödinger equation. We obtain an exact homoclinic solution of this model by employing the dressing method which we generalize to the case of the higher-rank projectors. This homoclinic solution describes the development of modulational instability beyond the linear regime, and we show that the modulational instability demonstrates the reversal property when the growth of the modulated amplitude is changed by its exponential decay.

    Original languageEnglish
    Article number013626
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume76
    Issue number1
    DOIs
    Publication statusPublished - 27 Jul 2007

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