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Works citing this work

19 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. 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. 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

  9. Transparent PT-symmetric nonlinear networks

    M. Akramov, Jambul Yusupov, Matthias Ehrhardt +2

    ArticleQuantum Mechanics and Non-Hermitian PhysicsPhysica Scripta20256 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. 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

  12. 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

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

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

    ArticleNonlinear Photonic SystemsPhysica Scripta20241 citations
    ABI

  14. Standing Manakov solitons in networks: Exact solutions and stability analysis in metric-graphs–based approach

    M. Akramov, K. K. Sabirov, Kh. Sh. Matyokubov +1

    ArticleAdvanced Fiber Optic SensorsEurophysics Letters (EPL)20251 citations
    ABI

  15. 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

  16. 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

  17. 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

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

    K. K. Sabirov

    ArticleFixed Point Theorems AnalysisRussian Mathematics20250 citations
    ABI

  19. 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