Ising and Bloch domain walls in a two-dimensional parametrically driven Ginzburg-Landau equation model with nonlinearity management

Yu. B. Gaididei, Peter Leth Christiansen

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    Abstract

    We study a parametrically driven Ginzburg-Landau equation model with nonlinear management. The system is made of laterally coupled long active waveguides placed along a circumference. Stationary solutions of three kinds are found: periodic Ising states and two types of Bloch states, staggered and unstaggered. The stability of these states is investigated analytically and numerically. The nonlinear dynamics of the Bloch states are described by a complex Ginzburg-Landau equation with linear and nonlinear parametric driving. The switching between the staggered and unstaggered Bloch states under the action of direct ac forces is shown.
    Original languageEnglish
    JournalPhysical Review E
    Volume78
    Issue number2
    Pages (from-to)026610
    ISSN2470-0045
    DOIs
    Publication statusPublished - 2008

    Bibliographical note

    Copyright 2008 American Physical Society

    Keywords

    • COMPLEX
    • CHIRALITY
    • KINKS
    • OSCILLATORS
    • PATTERN-FORMATION
    • DYNAMICS
    • SOLITONS
    • 2-COMPONENT ACTIVE SYSTEMS
    • TRANSMISSION
    • DISPERSION

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