Gap solitons in quasiperiodic optical lattices

Hidetsugu Sakaguchi, Boris A. Malomed

    Research output: Contribution to journalArticle

    57 Citations (Scopus)

    Abstract

    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
    Volume74
    Issue number2
    DOIs
    Publication statusPublished - Aug 15 2006

    Fingerprint

    Optical Lattice
    Solitons
    solitary waves
    Unstable
    Gross-Pitaevskii Equation
    Breathers
    Band Gap
    nonlinearity
    Nonlinearity
    Transform

    All Science Journal Classification (ASJC) codes

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

    Cite this

    Gap solitons in quasiperiodic optical lattices. / Sakaguchi, Hidetsugu; Malomed, Boris A.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 74, No. 2, 026601, 15.08.2006.

    Research output: Contribution to journalArticle

    @article{596398d20a7c4892a89591b43c029e0a,
    title = "Gap solitons in quasiperiodic optical lattices",
    abstract = "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.",
    author = "Hidetsugu Sakaguchi and Malomed, {Boris A.}",
    year = "2006",
    month = "8",
    day = "15",
    doi = "10.1103/PhysRevE.74.026601",
    language = "English",
    volume = "74",
    journal = "Physical Review E",
    issn = "2470-0045",
    publisher = "American Physical Society",
    number = "2",

    }

    TY - JOUR

    T1 - Gap solitons in quasiperiodic optical lattices

    AU - Sakaguchi, Hidetsugu

    AU - Malomed, Boris A.

    PY - 2006/8/15

    Y1 - 2006/8/15

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=33746912787&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=33746912787&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevE.74.026601

    DO - 10.1103/PhysRevE.74.026601

    M3 - Article

    AN - SCOPUS:33746912787

    VL - 74

    JO - Physical Review E

    JF - Physical Review E

    SN - 2470-0045

    IS - 2

    M1 - 026601

    ER -