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Works cited by this work

53 works

Work: Bogoliubov de Gennes equation on metric graphs

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

    Sven Gnutzmann∥, Uzy Smilansky

    Article200639 citations
    ABI

  2. 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

  3. FAST SOLITONS ON STAR GRAPHS

    RICCARDO ADAMI, CLAUDIO CACCIAPUOTI, DOMENICO FINCO +1

    Article201124 citations
    ABI

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

    Hannes Uecker, Daniel Grieser, Z. A. Sobirov +2

    ArticleNonlinear Photonic SystemsPhysical Review E201523 citations
    ABI

  5. FAST SOLITONS ON STAR GRAPHS

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Review article201022 citations
    ABI

  6. Introduction to Quantum Graphs

    Gregory Berkolaiko, Peter Kuchment

    Book201220 citations
    ABI

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

    Diego Noja

    Article201319 citations
    ABI

  8. Untitled

    Other19 citations
    ABI

  9. Stationary nonlinear Schrödinger equation on simplest graphs

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

    ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
    ABI

  10. Kirchhoff's rule for quantum wires

    V. Kostrykin, R. Schrader

    Article199817 citations
    ABI

  11. Eigenfunction statistics on quantum graphs

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

    Article201016 citations
    ABI

  12. Kirchhoff's rule for quantum wires

    V Kostrykin, R Schrader

    Article199915 citations
    ABI

  13. Sine-Gordon solitons in networks: Scattering and transmission at vertices

    Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2

    Article201615 citations
    ABI

  14. Experimental simulation of quantum graphs by microwave networks

    Oleh Hul, Szymon Bauch, Prot Pakónski +3

    Article200414 citations
    ABI

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

    Pavel Exner, P. Šeba, P. Šťovı́ček

    Article198813 citations
    ABI

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

    Diego Noja

    Article201413 citations
    ABI

  17. Untitled

    Other13 citations
    ABI

  18. Untitled

    Other13 citations
    ABI

  19. The Diamagnetic Anisotropy of Aromatic Molecules

    Linus Pauling

    Article193611 citations
    ABI

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

    Klaus Ruedenberg, Charles W. Scherr

    Article195310 citations
    ABI

  21. Nonlinear waves in networks: Model reduction for the sine-Gordon equation

    Jean-Guy Caputo, Denys Dutykh

    Article201410 citations
    ABI

  22. Untitled

    Other9 citations
    ABI

  23. Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation

    Katsuhiro Nakamura, Z. A. Sobirov, D. U. Matrasulov +1

    ArticleNonlinear Photonic SystemsPhysical Review E20119 citations
    ABI

  24. Superconductivity of networks. A percolation approach to the effects of disorder

    S. Alexander

    Article19837 citations
    ABI

  25. Existence and stability analysis of solitary waves in a tricrystal junction

    H. Susanto, Stephan A. van Gils

    Article20057 citations
    ABI