Solitons in nonlocal nonlinear media: Exact solutions

Wieslaw Krolikowski, Ole Bang

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    Abstract

    We investigate the propagation of one-dimensional bright and dark spatial solitons in a nonlocal Kerr-like media, in which the nonlocality is of general form. We find an exact analytical solution to the nonlinear propagation equation in the case of weak nonlocality. We study the properties of these solitons and show their stability.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume63
    Issue number1
    Pages (from-to)016610
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2001

    Bibliographical note

    Copyright (2001) American Physical Society

    Keywords

    • INSTABILITIES
    • GUIDES
    • CRYSTALS
    • BEHAVIOR
    • DARK SOLITONS
    • SOLITARY WAVES

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