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Works citing this work

18 works

Work: Stationary nonlinear Schrödinger equation on simplest graphs

  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. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
    ABI

  4. 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

  5. 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

  6. Bogoliubov de Gennes equation on metric graphs

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

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

  7. 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

  8. PT-symmetric quantum graphs

    D. U. Matrasulov, K K Sabirov, Jambul Yusupov

    ArticleQuantum Mechanics and Non-Hermitian PhysicsJournal of Physics A Mathematical and Theoretical201910 citations
    ABI

  9. 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

  10. 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

  11. 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

  12. Ballistic Soliton Transport in Networks

    Z. A. Sobirov, K.K. Sabirov, D. U. Matrasulov +2

    ChapterNonlinear Photonic SystemsNATO science for peace and security series. C, Environmental security20140 citations
    ABI

  13. A solution of nonlinear Schrödinger equation on metric graphs

    K.K. Sabirov, A. R. Khalmukhamedov

    ArticleNonlinear Waves and SolitonsNanosystems Physics Chemistry Mathematics20150 citations
    ABI

  14. 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

  15. 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

  16. Nonlinear stationary differential equations of fractional order 1 < а < 2 on metric star graphs

    К. К. Sabirov

    ArticleFractional Differential Equations SolutionsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20250 citations
    ABI

  17. Stationary Differential Equations with Fractional Order 1 < α < 2 on Metric Star Graphs

    K. K. Sabirov

    ArticleFixed Point Theorems AnalysisRussian Mathematics20250 citations
    ABI

  18. Burgers flow in networks: Metric graph based approach

    D. U. Matrasulov, Karim Sabirov, S.M. Usanov +1

    PreprintNonlinear Waves and SolitonsSSRN Electronic Journal20260 citations
    ABI