Collapse arresting in an inhomogeneous two-dimensional nonlinear Schrodinger model

Jens Schjødt-Eriksen, Yuri Borisovich Gaididei, Peter Leth Christiansen

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    Abstract

    Collapse of (2 + 1)-dimensional beams in the inhomogeneous two-dimensional cubic nonlinear Schrodinger equation is analyzed numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams that in a homogeneous medium would collapse may be arrested under certain circumstances.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume64
    Issue number6
    Pages (from-to)066614
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2001

    Bibliographical note

    Copyright (2001) American Physical Society

    Keywords

    • ATOMS
    • SINGULARITY
    • BLOW-UP
    • SCHROEDINGER EQUATIONS

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