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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. Soliton generation in optical fiber networks

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

    ArticleNonlinear Photonic SystemsChaos Solitons & Fractals202010 citations
    ABI

  2. Untitled

    Other10 citations
    ABI

  3. Untitled

    Other9 citations
    ABI

  4. 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

  5. Untitled

    Other9 citations
    ABI

  6. Negative Energy Ground States for the L 2-Critical NLSE on Metric Graphs

    Riccardo Adami, Enrico Serra, Paolo Tilli

    Article20168 citations
    ABI

  7. Integrable Nonlocal Nonlinear Schrödinger Equation

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20138 citations
    ABI

  8. Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical Fibers

    L. F. Mollenauer, R. H. Stolen, J. P. Gordon

    Article19807 citations
    ABI

  9. Negative Energy Ground States for the L2-Critical NLSE on Metric Graphs

    Riccardo Adami, Enrico Serra, Paolo Tilli

    Article20177 citations
    ABI

  10. On the Inverse Scattering Method for Integrable PDEs on a Star Graph

    Vincent Caudrelier

    Article20157 citations
    ABI

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

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20167 citations
    ABI

  12. Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions

    K.K. Sabirov, Jambul Yusupov, Мерсаид Арипов +2

    ArticleNonlinear Photonic SystemsPhysical review. E20217 citations
    ABI

  13. Untitled

    Other6 citations
    ABI

  14. 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

  15. On the Inverse Scattering Method for Integrable PDEs on a Star Graph

    Caudrelier, V

    Article20156 citations
    ABI

  16. Integrable Nonlocal Nonlinear Equations

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20165 citations
    ABI

  17. Integrable nonlocal asymptotic reductions of physically significant nonlinear equations

    Mark J Ablowitz, Ziad H. Musslimani

    Article20195 citations
    ABI

  18. General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

    Bao‐Feng Feng, Xu-Dan Luo, Mark J Ablowitz +1

    Article20184 citations
    ABI

  19. Untitled

    Other4 citations
    ABI

  20. Symmetries and exact solutions of a class of nonlocal nonlinear Schrödinger equations with self-induced parity-time-symmetric potential

    Debdeep Sinha, Pijush K. Ghosh

    Article20153 citations
    ABI

  21. Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials

    Zichao Wen, Zhenya Yan

    Article20173 citations
    ABI

  22. Physically significant nonlocal nonlinear Schrödinger equation and its soliton solutions

    Jianke Yang

    Article20183 citations
    ABI

  23. Rogue waves and periodic solutions of a nonlocal nonlinear Schrödinger model

    C. B. Ward, P. G. Kevrekidis, T. P. Horikis +1

    Article20203 citations
    ABI

  24. Nonlocal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>M</mml:mi></mml:math>-component nonlinear Schrödinger equations: Bright solitons, energy-sharing collisions, and positons

    Jiguang Rao, Jingsong He, T. Kanna +1

    Article20203 citations
    ABI

  25. Untitled

    Other3 citations
    ABI