Two-dimensional dissipative gap solitons

Hidetsugu Sakaguchi, Boris A. Malomed

    Research output: Contribution to journalArticlepeer-review

    17 Citations (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.

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

    All Science Journal Classification (ASJC) codes

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


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