Two-dimensional dissipative gap solitons

Hidetsugu Sakaguchi, Boris A. Malomed

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We introduce a model which integrates the complex Ginzburg-Landau equation in two dimensions (2Ds) with the linear-cubic-quintic combination of loss and gain terms, self-defocusing nonlinearity, and a periodic potential. In this system, stable 2D dissipative gap solitons (DGSs) are constructed, both fundamental and vortical ones. The soliton families belong to the first finite band gap of the system's linear spectrum. The solutions are obtained in a numerical form and also by means of an analytical approximation, which combines the variational description of the shape of the fundamental and vortical solitons and the balance equation for their total power. The analytical results agree with numerical findings. The model may be implemented as a laser medium in a bulk self-defocusing optical waveguide equipped with a transverse 2D grating, the predicted DGSs representing spatial solitons in this setting.

    Original languageEnglish
    Article number026606
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume80
    Issue number2
    DOIs
    Publication statusPublished - Aug 26 2009

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    Solitons
    solitary waves
    defocusing
    Complex Ginzburg-Landau Equation
    Analytical Approximation
    Optical Waveguides
    Periodic Potential
    Landau-Ginzburg equations
    Quintic
    Balance Equations
    Band Gap
    linear systems
    optical waveguides
    Gratings
    Two Dimensions
    Transverse
    Linear Systems
    nonlinearity
    Integrate
    gratings

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

    Cite this

    Two-dimensional dissipative gap solitons. / Sakaguchi, Hidetsugu; Malomed, Boris A.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 80, No. 2, 026606, 26.08.2009.

    Research output: Contribution to journalArticle

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