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Works cited by this work

63 works

Work: Branched Josephson junctions: Current carrying solitons in external magnetic fields

  1. Handbook of Mathematical Functions

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    Article196644 citations
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  2. Integrable nonlinear Schrödinger equation on simple networks: Connection formula at vertices

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    ArticleNonlinear Photonic SystemsPhysical Review E201028 citations
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  3. FAST SOLITONS ON STAR GRAPHS

    RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1

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  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. Solitons and the Inverse Scattering Transform

    Mark J. Ablowitz, Harvey Segur

    Book198121 citations
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  7. Transparent quantum graphs

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

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

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

    Diego Noja

    Article201319 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. Transparent nonlinear networks

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

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

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

    Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2

    Article201615 citations
    ABI

  12. Untitled

    Other13 citations
    ABI

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

    Diego Noja

    Article201413 citations
    ABI

  14. Solitons, Nonlinear Evolution Equations and Inverse Scattering

    M. A. Ablowitz, Peter A. Clarkson

    Book199113 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. Bogoliubov de Gennes equation on metric graphs

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

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

  22. 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

  23. Untitled

    Other10 citations
    ABI

  24. Nonlinear waves in networks: Model reduction for the sine-Gordon equation

    Jean-Guy Caputo, Denys Dutykh

    Article201410 citations
    ABI

  25. 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