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Works cited by this work

51 works

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

  1. Optical solitons : from fibers to photonic crystals

    Yuri S. Kivshar, Govind P. Agrawal

    Book200325 citations
    ABI

  2. Transparent quantum graphs

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

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

  3. Transparent nonlinear networks

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

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  4. Exciton dynamics in branched conducting polymers: Quantum graphs based approach

    Jambul Yusupov, Kh. Sh. Matyokubov, K.K. Sabirov +1

    ArticleQuantum optics and atomic interactionsChemical Physics202013 citations
    ABI

  5. 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

  6. Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics

    Anton Arnold, Matthias Ehrhardt

    Article19988 citations
    ABI

  7. Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities

    Pauline Klein, Xavier Antoine, Christophe Besse +1

    Article20118 citations
    ABI

  8. Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability

    Anton Arnold, Matthias Ehrhardt, Ivan Sofronov

    Article20038 citations
    ABI

  9. Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential

    Xavier Antoine, Christophe Besse, Pauline Klein

    Article20088 citations
    ABI

  10. Discrete Transparent Boundary Conditions for GeneralSchrödinger‐type Equations

    Matthias Ehrhardt

    Article19987 citations
    ABI

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

    Xavier Antoine, Christophe Besse, Stéphane Descombes

    Article20067 citations
    ABI

  12. Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension

    Shidong Jiang, Leslie Greengard

    Article20047 citations
    ABI

  13. Discrete artificial boundary conditions for nonlinear Schrödinger equations

    Andrea Zisowsky, Matthias Ehrhardt

    Article20076 citations
    ABI

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

    Matthias Ehrhardt

    Article20076 citations
    ABI

  15. Untitled

    Other6 citations
    ABI

  16. 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

  17. Absorbing Boundary Conditions for Hyperbolic Systems

    Matthias Ehrhardt

    Article20105 citations
    ABI

  18. A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

    Xavier Antoine, Anton Arnold, Besse, Christophe +2

    Review article20074 citations
    ABI

  19. Observation of Manakov Spatial Solitons in AlGaAs Planar Waveguides

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

    Article19964 citations
    ABI

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

    T. Kanna, M. Lakshmanan

    Article20014 citations
    ABI

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

    Rahul Radhakrishnan, M. Lakshmanan, Jarmo Hietarinta

    Article19974 citations
    ABI

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

    P. G. Kevrekidis, D. J. Frantzeskakis

    Article20164 citations
    ABI

  23. Local absorbing boundary conditions for nonlinear wave equation on unbounded domain

    Hongwei Li, Xiaonan Wu, Jiwei Zhang

    Article20113 citations
    ABI

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

    D. J. Frantzeskakis

    Article20103 citations
    ABI

  25. Untitled

    Other3 citations
    ABI