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Works cited by this work

27 works

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

  1. 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

  2. Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures

    Jambul Yusupov, K.K. Sabirov, Q. U. Asadov +2

    ArticleTopological Materials and PhenomenaPhysical review. E20208 citations
    ABI

  3. Integrable Nonlocal Nonlinear Schrödinger Equation

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20138 citations
    ABI

  4. Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

    Xavier Antoine, Christophe Besse, Stéphane Descombes

    Article20067 citations
    ABI

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

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20167 citations
    ABI

  6. 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

  7. Discrete artificial boundary conditions for nonlinear Schrödinger equations

    Andrea Zisowsky, Matthias Ehrhardt

    Article20076 citations
    ABI

  8. Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data

    Matthias Ehrhardt

    Article20076 citations
    ABI

  9. 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

  10. Transparent vertex boundary conditions for quantum graphs: Simplified approach

    Мерсаид Арипов, K.K. Sabirov, Jambul Yusupov

    ArticleQuantum and electron transport phenomenaNanosystems Physics Chemistry Mathematics20196 citations
    ABI

  11. A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>D

    René Hammer, W. Pötz, Anton Arnold

    Article20135 citations
    ABI

  12. Integrable Nonlocal Nonlinear Equations

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20165 citations
    ABI

  13. Integrable nonlocal asymptotic reductions of physically significant nonlinear equations

    Mark J Ablowitz, Ziad H. Musslimani

    Article20195 citations
    ABI

  14. An analysis of the finite-difference method for one-dimensional Klein–Gordon equation on unbounded domain

    Houde Han, Zhiwen Zhang

    Article20084 citations
    ABI

  15. 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

  16. Untitled

    Other4 citations
    ABI

  17. Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation

    Rahmi Rusin, Rudy Kusdiantara, H. Susanto

    Article20194 citations
    ABI

  18. Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis

    Chunxiong Zheng

    Article20073 citations
    ABI

  19. Absorbing boundary conditions for the wave equation and parallel computing

    Martin J. Gander, Laurence Halpern

    Article20043 citations
    ABI

  20. A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations

    Xavier Antoine, Emmanuel Lorin, Qiao Tang

    Review article20173 citations
    ABI

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

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

    Article20203 citations
    ABI

  22. 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

  23. Untitled

    Other3 citations
    ABI

  24. Untitled

    Other3 citations
    ABI

  25. Holding spatial solitons in a pumped cavity with the help of nonlinear potentials

    Or Maor, Nir Dror, Boris A. Malomed

    Article20132 citations
    ABI