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Works cited by this work

54 works

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

  1. Quantum graphs where back-scattering is prohibited

    J. M. Harrison, U. Smilansky, B. Winn

    Article20074 citations
    ABI

  2. Observation of Manakov Spatial Solitons in AlGaAs Planar Waveguides

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

    Article19964 citations
    ABI

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

    T. Kanna, M. Lakshmanan

    Article20014 citations
    ABI

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

    Rahul Radhakrishnan, M. Lakshmanan, Jarmo Hietarinta

    Article19974 citations
    ABI

  5. Solitons in coupled nonlinear Schrödinger models: A survey of recent developments

    P. G. Kevrekidis, D. J. Frantzeskakis

    Article20164 citations
    ABI

  6. On the absence of absolutely continuous spectra for Schrödinger operators on radial tree graphs

    Pavel Exner, Jiř̌í Lipovský

    Article20103 citations
    ABI

  7. Untitled

    Other3 citations
    ABI

  8. Dark solitons in atomic Bose–Einstein condensates: from theory to experiments

    D. J. Frantzeskakis

    Article20103 citations
    ABI

  9. Untitled

    Other3 citations
    ABI

  10. Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line

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

    ArticleNonlinear Photonic SystemsPhysics Letters A20213 citations
    ABI

  11. Quantum graphs where back-scattering is prohibited

    J M Harrison, U Smilansky, B Winn

    Article20073 citations
    ABI

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

    Jianke Yang

    Article19993 citations
    ABI

  13. Soliton interactions in the vector NLS equation

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

    Article20043 citations
    ABI

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

    Rahul Radhakrishnan, M. Lakshmanan

    Article19953 citations
    ABI

  15. Polarized dark solitons in isotropic Kerr media

    Adrian Sheppard, Yuri S. Kivshar

    Article19973 citations
    ABI

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

    Bao-Feng Feng

    Article20143 citations
    ABI

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

    Yasuhiro Ohta, Deng‐Shan Wang, Jianke Yang

    Article20113 citations
    ABI

  18. Applications of Nonlinear Fiber Optics

    Agrawal, Govind P. 1951-

    Book20013 citations
    ABI

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

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

    Article20153 citations
    ABI

  20. Protocol of networks using energy sharing collisions of bright solitons

    Katsuhiro Nakamura, T. Kanna, K. Sakkaravarthi

    ArticleNonlinear Photonic SystemsPramana20152 citations
    ABI

  21. Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method

    M.S. Ismail

    Article20072 citations
    ABI

  22. Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

    Chunxiong Zheng

    Article20052 citations
    ABI

  23. An easily implementable fourth-order method for the time integration of wave problems

    Javier de Frutos, J. M. Sanz‐Serna

    Article19922 citations
    ABI

  24. Bright-dark solitons and their collisions in mixed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-coupled nonlinear Schrödinger equations

    M. Vijayajayanthi, T. Kanna, M. Lakshmanan

    Article20082 citations
    ABI

  25. ANALYTIC METHODS FOR SOLITON SYSTEMS

    M. Lakshmanan

    Article19932 citations
    ABI