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Работы, на которые ссылается эта работа

Работ: 39

Работа: Standing Manakov solitons in networks: Exact solutions and stability analysis in metric-graphs–based approach

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

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

    СтатьяNonlinear Photonic SystemsPhysical Review E2010Цитирований: 28
    ABI

  2. FAST SOLITONS ON STAR GRAPHS

    RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1

    Статья2011Цитирований: 24
    ABI

  3. Soliton transport in tubular networks: Transmission at vertices in the shrinking limit

    Hannes Uecker, Daniel Grieser, Z. A. Sobirov +2

    СтатьяNonlinear Photonic SystemsPhysical Review E2015Цитирований: 23
    ABI

  4. Transparent quantum graphs

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

    СтатьяSpectral Theory in Mathematical PhysicsPhysics Letters A2019Цитирований: 20
    ABI

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

    Diego Noja

    Статья2013Цитирований: 19
    ABI

  6. Eigenfunction statistics on quantum graphs

    S. Gnutzmann, J.P. Keating, F. Piotet

    Статья2010Цитирований: 16
    ABI

  7. The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies

    K.K. Sabirov, S. Rakhmanov, D. U. Matrasulov +1

    СтатьяPhysics of Superconductivity and MagnetismPhysics Letters A2018Цитирований: 13
    ABI

  8. Dynamics of Dirac solitons in networks

    K.K. Sabirov, D. Babajanov, D. U. Matrasulov +1

    СтатьяNonlinear Photonic SystemsJournal of Physics A Mathematical and Theoretical2018Цитирований: 10
    ABI

  9. Soliton generation in optical fiber networks

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

    СтатьяNonlinear Photonic SystemsChaos Solitons & Fractals2020Цитирований: 10
    ABI

  10. 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

    СтатьяNonlinear Waves and SolitonsPhysical review. E2022Цитирований: 8
    ABI

  11. Stationary states of NLS on star graphs

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Статья2012Цитирований: 7
    ABI

  12. Perturbation theory for the Manakov soliton and its applications to pulse propagation in randomly birefringent fibers

    Taras I. Lakoba, D. J. Kaup

    Статья1997Цитирований: 7
    ABI

  13. Fokker–Planck equation on metric graphs

    Jasur Matrasulov, K.K. Sabirov

    СтатьяTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications2022Цитирований: 6
    ABI

  14. Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons

    M. Akramov, Jambul Yusupov, Matthias Ehrhardt +2

    СтатьяQuantum Mechanics and Non-Hermitian PhysicsPhysics Letters A2023Цитирований: 5
    ABI

  15. Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks

    Jambul Yusupov, Kh. Sh. Matyokubov, Matthias Ehrhardt +1

    СтатьяNonlinear Photonic SystemsPhysics Letters A2023Цитирований: 4
    ABI

  16. Observation of Manakov Spatial Solitons in AlGaAs Planar Waveguides

    Jin U Kang, G. I. Stegeman, J. Stewart Aitchison +1

    Статья1996Цитирований: 4
    ABI

  17. Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations

    T. Kanna, M. Lakshmanan

    Статья2001Цитирований: 4
    ABI

  18. Inelastic collision and switching of coupled bright solitons in optical fibers

    Rahul Radhakrishnan, M. Lakshmanan, Jarmo Hietarinta

    Статья1997Цитирований: 4
    ABI

  19. Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics

    Jianke Yang

    Статья1999Цитирований: 3
    ABI

  20. Soliton interactions in the vector NLS equation

    Mark J. Ablowitz, B. Prinari, A. D. Trubatch

    Статья2004Цитирований: 3
    ABI

  21. Bright and dark soliton solutions to coupled nonlinear Schrodinger equations

    Rahul Radhakrishnan, M. Lakshmanan

    Статья1995Цитирований: 3
    ABI

  22. Polarized dark solitons in isotropic Kerr media

    Adrian Sheppard, Yuri S. Kivshar

    Статья1997Цитирований: 3
    ABI

  23. General<i>N</i>-soliton solution to a vector nonlinear Schrödinger equation

    Bao-Feng Feng

    Статья2014Цитирований: 3
    ABI

  24. General <i>N</i>‐Dark–Dark Solitons in the Coupled Nonlinear Schrödinger Equations

    Yasuhiro Ohta, Deng‐Shan Wang, Jianke Yang

    Статья2011Цитирований: 3
    ABI

  25. Rogue waves in a two-component Manakov system with variable coefficients and an external potential

    Wei‐Ping Zhong, Milivoj R. Belić, Boris A. Malomed

    Статья2015Цитирований: 3
    ABI