Localized nonlinear wavepackets with radial-azimuthal modulated nonlinearity and an external potential

Wei Ping Zhong, Milivoj R. Belić, Gaetano Assanto

    Research output: Contribution to journalArticleScientificpeer-review

    6 Citations (Scopus)

    Abstract

    We analytically investigated two-dimensional localized nonlinear waves in Kerr media with radial and azimuthal modulation of the nonlinearity and in the presence of an external potential. The solutions have been derived through the similarity transformation. We demonstrate that the properties of nonlinear waves are determined by two parameters: a whole number n (the index of the Jacobi elliptical waves) and an integer m (the topological charge). Our results indicate that the dynamic evolution, including cnoidal and snoidal waves, can be strongly affected by these two parameters, providing an approach to controlling nonlinear waves by an appropriate radial-azimuthal modulation of the nonlinearity, with an appropriate external potential.

    Original languageEnglish
    Article number055001
    JournalPhysica Scripta
    Volume84
    Issue number5
    DOIs
    Publication statusPublished - Nov 2011
    Publication typeA1 Journal article-refereed

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Atomic and Molecular Physics, and Optics
    • Mathematical Physics

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