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13 works

Work: Nonlinear Schrödinger equation on graphs: recent results and open problems

  1. Soliton transport in tubular networks: Transmission at vertices in the shrinking limit

    Hannes Uecker, Daniel Grieser, Z. A. Sobirov +2

    ArticleNonlinear Photonic SystemsPhysical Review E201523 citations
    ABI

  2. Transparent nonlinear networks

    Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  3. The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies

    K.K. Sabirov, S. Rakhmanov, D. U. Matrasulov +1

    ArticlePhysics of Superconductivity and MagnetismPhysics Letters A201813 citations
    ABI

  4. Branched Josephson junctions: Current carrying solitons in external magnetic fields

    D. U. Matrasulov, K.K. Sabirov, D. Babajanov +1

    ArticleNonlinear Photonic SystemsEurophysics Letters (EPL)202012 citations
    ABI

  5. Bogoliubov de Gennes equation on metric graphs

    K.K. Sabirov, Doniyor Jumanazarov, Jambul Yusupov +1

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

  6. Dynamics of Dirac solitons in networks

    K.K. Sabirov, D. Babajanov, D. U. Matrasulov +1

    ArticleNonlinear Photonic SystemsJournal of Physics A Mathematical and Theoretical201810 citations
    ABI

  7. Nonlocal nonlinear Schrödinger equation on metric graphs: A model for generation and transport of parity-time-symmetric nonlocal solitons in networks

    M. Akramov, K.K. Sabirov, D. U. Matrasulov +3

    ArticleNonlinear Waves and SolitonsPhysical review. E20228 citations
    ABI

  8. Discrete nonlocal nonlinear Schrödinger equation on graphs: Dynamics of PT-symmetric solitons in discrete networks

    M. Akramov, Feruza Khashimova, D. U. Matrasulov

    ArticleNonlinear Photonic SystemsPhysics Letters A20224 citations
    ABI

  9. Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks

    Jambul Yusupov, Kh. Sh. Matyokubov, Matthias Ehrhardt +1

    ArticleNonlinear Photonic SystemsPhysics Letters A20234 citations
    ABI

  10. Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks

    M. Akramov, Jambul Yusupov, I. N. Askerzade +1

    ArticleNonlinear Photonic SystemsPhysica Scripta20232 citations
    ABI

  11. PT-symmetric solitons in networks: a metric graph based approach

    M. Akramov, B. Eshchanov, Feruza Khashimova +1

    ArticleNonlinear Photonic SystemsPhysica Scripta20241 citations
    ABI

  12. Discrete Nonlocal Nonlinear Schrödinger Equation on Graphs: Dynamics of Pt-Symmetric Solitons in Discrete Networks

    M. Akramov, Feruza Khashimova, D. U. Matrasulov

    ArticleNonlinear Photonic SystemsSSRN Electronic Journal20220 citations
    ABI

  13. Bogoliubov-de Gennes equation on graphs: A model for tree-branched Majorana wire network

    M. Akramov, I. N. Askerzade, M. Salati +1

    ArticleTopological Materials and PhenomenaJournal of Physics Conference Series20230 citations
    ABI