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28 works

Work: Integrable nonlinear Schrödinger equation on simple networks: Connection formula at vertices

  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. Second-harmonic generation in branched optical waveguides: Metric graphs based approach

    M. Akramov, B. Eshchanov, Sulton Usanov +2

    ArticleAdvanced Fiber Laser TechnologiesPhysics Letters A202419 citations
    ABI

  3. Stationary nonlinear Schrödinger equation on simplest graphs

    K.K. Sabirov, Z. A. Sobirov, D. Babajanov +1

    ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
    ABI

  4. Transparent nonlinear networks

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

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  5. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
    ABI

  6. 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

  7. 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

  8. Bogoliubov de Gennes equation on metric graphs

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

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

  9. 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

  10. Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation

    Katsuhiro Nakamura, Z. A. Sobirov, D. U. Matrasulov +1

    ArticleNonlinear Photonic SystemsPhysical Review E20119 citations
    ABI

  11. 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

  12. Fokker–Planck equation on metric graphs

    Jasur Matrasulov, K.K. Sabirov

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

  13. Transparent PT-symmetric nonlinear networks

    M. Akramov, Jambul Yusupov, Matthias Ehrhardt +2

    ArticleQuantum Mechanics and Non-Hermitian PhysicsPhysica Scripta20256 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 SystemsPhysics Letters A20224 citations
    ABI

  15. 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

  16. Protocol of networks using energy sharing collisions of bright solitons

    Katsuhiro Nakamura, T. Kanna, K. Sakkaravarthi

    ArticleNonlinear Photonic SystemsPramana20152 citations
    ABI

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

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

    ArticleNonlinear Photonic SystemsPhysica Scripta20241 citations
    ABI

  18. 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

  19. Kicked particle dynamics in quantum graphs

    Jambul Yusupov, Valijon Eshniyozov, О. В. Карпова +1

    ArticleCold Atom Physics and Bose-Einstein CondensatesNanosystems Physics Chemistry Mathematics20151 citations
    ABI

  20. Time-Independent Nonlinear Schrödinger Equation on Simplest Networks

    K.K. Sabirov, Zarif Sabirov, D. Babajanov +1

    ChapterCold Atom Physics and Bose-Einstein CondensatesNATO science for peace and security series. B, Physics and biophysics20130 citations
    ABI

  21. 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

  22. A solution of nonlinear Schrödinger equation on metric graphs

    K.K. Sabirov, A. R. Khalmukhamedov

    ArticleNonlinear Waves and SolitonsNanosystems Physics Chemistry Mathematics20150 citations
    ABI

  23. 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

  24. 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

  25. 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