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Works citing this work

23 works

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

  1. Transparent nonlinear networks

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

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  2. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 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. Fokker–Planck equation on metric graphs

    Jasur Matrasulov, K.K. Sabirov

    ArticleTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications20226 citations
    ABI

  9. Dynamics of polarons in branched conducting polymers

    K.K. Sabirov, Jambul Yusupov, Kh. Sh. Matyokubov

    ArticleConducting polymers and applicationsNanosystems Physics Chemistry Mathematics20205 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. Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph

    Gulmirza Khudayberganov, Z. A. Sobirov, M. R. Eshimbetov

    ArticlePhotonic and Optical DevicesJournal of Siberian Federal University Mathematics & Physics20194 citations
    ABI

  13. Networks with point-like nonlinearities

    K.K. Sabirov, J.R. Yusupov, Kh. Sh. Matyokubov +2

    ArticleAdvanced Optical Network TechnologiesNanosystems Physics Chemistry Mathematics20222 citations
    ABI

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

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

    ArticleNonlinear Photonic SystemsPhysica Scripta20241 citations
    ABI

  15. Fokas Method for the Heat Equation on Metric Graphs

    Z. A. Sobirov, M. R. Eshimbetov

    Articleadvanced mathematical theoriesJournal of Mathematical Sciences20241 citations
    ABI

  16. 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

  17. Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds

    K.K. Sabirov, Мерсаид Арипов, D.B. Sagdullayev

    Articleadvanced mathematical theoriesNanosystems Physics Chemistry Mathematics20171 citations
    ABI

  18. Nonlinear standing waves on planar branched systems: shrinking into metric graph

    Z. A. Sobirov, D. Babajanov, D. U. Matrasulov

    ArticleNonlinear Photonic SystemsNanosystems Physics Chemistry Mathematics20170 citations
    ABI

  19. Fokas Method for the Heat Equation on Metric Graphs

    Z. A. Sobirov, M. R. Eshimbetov

    ArticleRadiative Heat Transfer StudiesContemporary Mathematics Fundamental Directions20210 citations
    ABI

  20. 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

  21. 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

  22. Initial-Boundary Value Problem for Schrödinger Equation on Ladder-Type Graph

    M. R. Eshimbetov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20250 citations
    ABI

  23. 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