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Works cited by this work

65 works

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

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

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

    ArticleNonlinear Photonic SystemsPhysical Review E201028 citations
    ABI

  2. Optical solitons : from fibers to photonic crystals

    Yuri S. Kivshar, Govind P. Agrawal

    Book200325 citations
    ABI

  3. FAST SOLITONS ON STAR GRAPHS

    RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1

    Article201124 citations
    ABI

  4. 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

  5. FAST SOLITONS ON STAR GRAPHS

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Review article201022 citations
    ABI

  6. Transparent quantum graphs

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

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

  7. Nonlinear Schrödinger equation on graphs: recent results and open problems

    Diego Noja

    Article201319 citations
    ABI

  8. Solitons in Optical Communications

    Akira Hasegawa, Yuji Kodama

    Book199518 citations
    ABI

  9. Stationary nonlinear Schrödinger equation on simplest graphs

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

    ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
    ABI

  10. B. Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive Media

    Junkichi Satsuma, Nobuo Yajima

    Article197417 citations
    ABI

  11. Transparent nonlinear networks

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

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  12. Sine-Gordon solitons in networks: Scattering and transmission at vertices

    Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2

    Article201615 citations
    ABI

  13. Exciton dynamics in branched conducting polymers: Quantum graphs based approach

    Jambul Yusupov, Kh. Sh. Matyokubov, K.K. Sabirov +1

    ArticleQuantum optics and atomic interactionsChemical Physics202013 citations
    ABI

  14. Nonlinear Schrödinger equation on graphs: recent results and open problems

    Diego Noja

    Article201413 citations
    ABI

  15. Untitled

    Other13 citations
    ABI

  16. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
    ABI

  17. Untitled

    Other13 citations
    ABI

  18. 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

  19. Untitled

    Other13 citations
    ABI

  20. Spectral stability of shifted states on star graphs

    Adilbek Kairzhan, Dmitry E. Pelinovsky

    Article201812 citations
    ABI

  21. 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

  22. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion

    Akira Hasegawa, F. D. Tappert

    Article197311 citations
    ABI

  23. Bogoliubov de Gennes equation on metric graphs

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

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

  24. 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

  25. 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