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Works cited by this work

46 works

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

  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. FAST SOLITONS ON STAR GRAPHS

    RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1

    Article201124 citations
    ABI

  3. 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

  4. FAST SOLITONS ON STAR GRAPHS

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Review article201022 citations
    ABI

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

    Diego Noja

    Article201319 citations
    ABI

  6. Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

    Carl M. Bender, Stefan Boettcher

    Article199818 citations
    ABI

  7. 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

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

    Diego Noja

    Article201413 citations
    ABI

  9. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
    ABI

  10. Untitled

    Other13 citations
    ABI

  11. Untitled

    Other13 citations
    ABI

  12. Spectral stability of shifted states on star graphs

    Adilbek Kairzhan, Dmitry E. Pelinovsky

    Article201812 citations
    ABI

  13. 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

  14. Soliton generation in optical fiber networks

    K.K. Sabirov, M. Akramov, R. Sh. Otajonov +1

    ArticleNonlinear Photonic SystemsChaos Solitons & Fractals202010 citations
    ABI

  15. Untitled

    Other10 citations
    ABI

  16. Observation of parity–time symmetry in optics

    Christian E. Rüter, Konstantinos G. Makris, Ramy El‐Ganainy +3

    Article201010 citations
    ABI

  17. 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

  18. Untitled

    Other9 citations
    ABI

  19. Nonlinear waves in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">PT</mml:mi></mml:mrow></mml:math>-symmetric systems

    V. V. Konotop, Jianke Yang, Dmitry A. Zezyulin

    Article20169 citations
    ABI

  20. 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

  21. Integrable Nonlocal Nonlinear Schrödinger Equation

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20138 citations
    ABI

  22. Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20167 citations
    ABI

  23. Integrable discrete<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math>symmetric model

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20146 citations
    ABI

  24. Theory of coupled optical PT-symmetric structures

    Ramy El‐Ganainy, Konstantinos G. Makris, Demetrios N. Christodoulides +1

    Article20076 citations
    ABI

  25. Integrable Nonlocal Nonlinear Equations

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20165 citations
    ABI