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Работы, на которые ссылается эта работа

Работ: 27

Работа: 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

    СтатьяNonlinear Waves and SolitonsPhysical review. E2022Цитирований: 8
    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

    СтатьяTopological Materials and PhenomenaPhysical review. E2020Цитирований: 8
    ABI

  3. Integrable Nonlocal Nonlinear Schrödinger Equation

    Mark J. Ablowitz, Ziad H. Musslimani

    Статья2013Цитирований: 8
    ABI

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

    Xavier Antoine, Christophe Besse, Stéphane Descombes

    Статья2006Цитирований: 7
    ABI

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

    Mark J. Ablowitz, Ziad H. Musslimani

    Статья2016Цитирований: 7
    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

    СтатьяNonlinear Photonic SystemsPhysical review. E2021Цитирований: 7
    ABI

  7. Discrete artificial boundary conditions for nonlinear Schrödinger equations

    Andrea Zisowsky, Matthias Ehrhardt

    Статья2007Цитирований: 6
    ABI

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

    Matthias Ehrhardt

    Статья2007Цитирований: 6
    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

    Статья2014Цитирований: 6
    ABI

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

    Мерсаид Арипов, K.K. Sabirov, Jambul Yusupov

    СтатьяQuantum and electron transport phenomenaNanosystems Physics Chemistry Mathematics2019Цитирований: 6
    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

    Статья2013Цитирований: 5
    ABI

  12. Integrable Nonlocal Nonlinear Equations

    Mark J. Ablowitz, Ziad H. Musslimani

    Статья2016Цитирований: 5
    ABI

  13. Integrable nonlocal asymptotic reductions of physically significant nonlinear equations

    Mark J Ablowitz, Ziad H. Musslimani

    Статья2019Цитирований: 5
    ABI

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

    Houde Han, Zhiwen Zhang

    Статья2008Цитирований: 4
    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

    Статья2018Цитирований: 4
    ABI

  16. Без названия

    ДругоеЦитирований: 4
    ABI

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

    Rahmi Rusin, Rudy Kusdiantara, H. Susanto

    Статья2019Цитирований: 4
    ABI

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

    Chunxiong Zheng

    Статья2007Цитирований: 3
    ABI

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

    Martin J. Gander, Laurence Halpern

    Статья2004Цитирований: 3
    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

    Обзорная статья2017Цитирований: 3
    ABI

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

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

    Статья2020Цитирований: 3
    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

    Статья2020Цитирований: 3
    ABI

  23. Без названия

    ДругоеЦитирований: 3
    ABI

  24. Без названия

    ДругоеЦитирований: 3
    ABI

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

    Or Maor, Nir Dror, Boris A. Malomed

    Статья2013Цитирований: 2
    ABI