Two-dimensional dissipative gap solitons

Hidetsugu Sakaguchi, Boris A. Malomed

    研究成果: ジャーナルへの寄稿学術誌査読

    16 被引用数 (Scopus)


    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.

    ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    出版ステータス出版済み - 8月 26 2009

    All Science Journal Classification (ASJC) codes

    • 統計物理学および非線形物理学
    • 統計学および確率
    • 凝縮系物理学


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