Gap solitons in quasiperiodic optical lattices

Hidetsugu Sakaguchi, Boris A. Malomed

    Research output: Contribution to journalArticlepeer-review

    71 Citations (Scopus)


    Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a fivefold optical lattice). Stable 1D solitons in the weak potential are explicitly found in three band gaps. These solitons are mobile, and they collide elastically. Many species of tightly bound 1D solitons are found in the strong potential, both stable and unstable (unstable ones transform themselves into asymmetric breathers). In the 2D model, families of both fundamental and vortical solitons are found and are shown to be stable.

    Original languageEnglish
    Article number026601
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Issue number2
    Publication statusPublished - 2006

    All Science Journal Classification (ASJC) codes

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


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