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Works cited by this work

39 works

Work: Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation

  1. Quantum graphs: Applications to quantum chaos and universal spectral statistics

    Sven Gnutzmann∥, Uzy Smilansky

    Article200639 citations
    ABI

  2. Periodic Orbit Theory and Spectral Statistics for Quantum Graphs

    Tsampikos Kottos, Uzy Smilansky

    Article199932 citations
    ABI

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

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

    ArticleNonlinear Photonic SystemsPhysical Review E201028 citations
    ABI

  4. Optical solitons : from fibers to photonic crystals

    Yuri S. Kivshar, Govind P. Agrawal

    Book200325 citations
    ABI

  5. FAST SOLITONS ON STAR GRAPHS

    RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1

    Article201124 citations
    ABI

  6. FAST SOLITONS ON STAR GRAPHS

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Review article201022 citations
    ABI

  7. Analysis on Graphs and Its Applications

    Pavel Exner

    Book200811 citations
    ABI

  8. Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays

    Alejandro B. Aceves, Costantino De Angelis, Thomas Peschel +4

    Article19969 citations
    ABI

  9. Free quantum motion on a branching graph

    Pavel Exner, P. Šeba

    Article19898 citations
    ABI

  10. Stationary scattering from a nonlinear network

    Sven Gnutzmann∥, Uzy Smilansky, Stanislav Derevyanko

    Article20118 citations
    ABI

  11. Discrete breathers

    Sergej Flach, C. R. Willis

    Article19987 citations
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  12. Soliton propagation on chains with simple nonlocal defects

    Raffaella Burioni, Davide Cassi, Pasquale Sodano +2

    Article20067 citations
    ABI

  13. Discrete and Continuous Nonlinear Schrödinger Systems

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

    Book20037 citations
    ABI

  14. Nonlinear differential–difference equations and Fourier analysis

    Mark J. Ablowitz, J. F. Ladik

    Article19767 citations
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  15. Propagation of discrete solitons in inhomogeneous networks

    Raffaella Burioni, Davide Cassi, Pasquale Sodano +2

    Article20056 citations
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  16. On the inverse scattering problem on branching graphs

    Pavel Kurasov, Filippa Stenberg

    Article20015 citations
    ABI

  17. Nonlinear differential−difference equations

    Mark J. Ablowitz, J. F. Ladik

    Article19755 citations
    ABI

  18. The nonlinear Schrödinger equation on the half-line

    A. S. Fokas, A. R. Its, L-Y Sung

    Article20054 citations
    ABI

  19. Destruction of Anderson Localization by a Weak Nonlinearity

    Arkady Pikovsky, Dima L. Shepelyansky

    Article20084 citations
    ABI

  20. The inverse scattering transform: Semi-infinite interval

    Mark J. Ablowitz, Harvey Segur

    Article19754 citations
    ABI

  21. Absence of Wave Packet Diffusion in Disordered Nonlinear Systems

    Georgios Kopidakis, Stavros Komineas, Sergej Flach +1

    Article20084 citations
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  22. The nonlinear Schrödinger equation on the interval

    A. S. Fokas, A. R. Its

    Article20044 citations
    ABI

  23. Inverse spectral problem for quantum graphs

    Pavel Kurasov, Marlena Nowaczyk

    Article20054 citations
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  24. Bose-Einstein condensation in the Apollonian complex network

    I. N. de Oliveira, F. A. B. F. de Moura, M. L. Lyra +2

    Article20104 citations
    ABI

  25. The nonlinear Schrödinger equation in the finite line

    J.I. Ramos, F.R. Villatoro

    Article19943 citations
    ABI