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Works cited by this work

51 works

Work: Soliton transport in tubular networks: Transmission at vertices in the shrinking limit

  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. FAST SOLITONS ON STAR GRAPHS

    RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1

    Article201124 citations
    ABI

  5. FAST SOLITONS ON STAR GRAPHS

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Review article201022 citations
    ABI

  6. Nonlinear Schrödinger equation on graphs: recent results and open problems

    Diego Noja

    Article201319 citations
    ABI

  7. Untitled

    Other19 citations
    ABI

  8. Stationary nonlinear Schrödinger equation on simplest graphs

    K.K. Sabirov, Z. A. Sobirov, D. Babajanov +1

    ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
    ABI

  9. Eigenfunction statistics on quantum graphs

    S. Gnutzmann, J.P. Keating, F. Piotet

    Article201016 citations
    ABI

  10. Quantum interference on graphs controlled by an external electric field

    Pavel Exner, P. Šeba, P. Šťovı́ček

    Article198813 citations
    ABI

  11. Nonlinear Schrödinger equation on graphs: recent results and open problems

    Diego Noja

    Article201413 citations
    ABI

  12. Analysis on Graphs and Its Applications

    Pavel Exner

    Book200811 citations
    ABI

  13. Free-Electron Network Model for Conjugated Systems. I. Theory

    Klaus Ruedenberg, Charles W. Scherr

    Article195310 citations
    ABI

  14. Spectral Analysis on Graph-like Spaces

    Olaf Post

    Book201210 citations
    ABI

  15. Free quantum motion on a branching graph

    Pavel Exner, P. Šeba

    Article19898 citations
    ABI

  16. Stationary scattering from a nonlinear network

    Sven Gnutzmann∥, Uzy Smilansky, Stanislav Derevyanko

    Article20118 citations
    ABI

  17. On the structure of critical energy levels for the cubic focusing NLS on star graphs

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Article20128 citations
    ABI

  18. Stationary states of NLS on star graphs

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Article20127 citations
    ABI

  19. A General Approximation of Quantum Graph Vertex Couplings by Scaled Schrödinger Operators on Thin Branched Manifolds

    Pavel Exner, Olaf Post

    Article20135 citations
    ABI

  20. Untitled

    Other5 citations
    ABI

  21. Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three

    Riccardo Adami, Diego Noja, Cecilia Ortoleva

    Article20134 citations
    ABI

  22. Bose-Einstein beams: Coherent propagation through a guide

    P. Leboeuf, Nicolas Pavloff

    Article20014 citations
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  23. 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

  24. Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds

    Pavel Exner, Olaf Post

    Article20094 citations
    ABI

  25. Nonlinear dynamics of topological solitons in DNA

    L. V. Yakushevich, A. V. Savin, Leonid I. Manevitch

    Article20023 citations
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