Nonlinear localized waves in a periodic medium

A. A. Sukhorukov*, Y. S. Kivshar

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    135 Citations (Scopus)

    Abstract

    The existence and stability of nonlinear localized waves in periodic media was analysed by means of the Kronig-Penney model. The existence of a novel type of stable nonlinear band-gap localized state was deduced, and a generic mechanism for the oscillatory wave instabilities associated with the band-gap resonances was obtained. The analysis included a study of band structure, localized waves and linearity defects by use of wave equations, matrix algebra and frequency response plots.

    Original languageEnglish
    Article number083901
    Pages (from-to)839011-839014
    Number of pages4
    JournalPhysical Review Letters
    Volume87
    Issue number8
    Publication statusPublished - 20 Aug 2001

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