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Works cited by this work

41 works

Work: Nonlinear standing waves on planar branched systems: shrinking into metric graph

  1. Theory of Bose-Einstein condensation in trapped gases

    F. Dalfovo, S. Giorgini, Лев П. Питаевский +1

    Article199924 citations
    ABI

  2. 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

  3. FAST SOLITONS ON STAR GRAPHS

    Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1

    Review article201022 citations
    ABI

  4. Solitons in conducting polymers

    Alan J. Heeger, Steven A. Kivelson, J. R. Schrieffer +1

    Article198816 citations
    ABI

  5. Analysis on Graphs and Its Applications

    Pavel Exner

    Book200811 citations
    ABI

  6. Spectral Analysis on Graph-like Spaces

    Olaf Post

    Book201210 citations
    ABI

  7. 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

  8. Statistical mechanics of complex networks

    Réka Albert, Albert-Ĺaszló Barabási

    Article20028 citations
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  9. Complex Networks

    Reuven Cohen, Shlomo Havlin

    Book20107 citations
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  10. Elliptic Partial Differential Equations of Second Order

    David Gilbarg, Neil S. Trudinger

    Book19775 citations
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  11. Pairing of Cooper pairs in a Josephson junction network containing an impurity

    Domenico Giuliano, Pasquale Sodano

    Article20095 citations
    ABI

  12. Untitled

    Other4 citations
    ABI

  13. Linearized KdV equation on a metric graph

    Z. A. Sobirov, Maqsad. I. Akhmedov, O.V. Karpova +1

    ArticleAdvanced Mathematical Physics ProblemsNanosystems Physics Chemistry Mathematics20153 citations
    ABI

  14. Molecular imaging using recolliding electrons

    Manfred Lein

    Article20073 citations
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  15. Bose-Einstein condensation in inhomogeneous Josephson arrays

    Raffaella Burioni, Davide Cassi, I. Meccoli +4

    Article20003 citations
    ABI

  16. Optical Solitons in Fibers

    Akira Hasegawa

    Book19903 citations
    ABI

  17. Topological filters and high-pass/low-pass devices for solitons in inhomogeneous networks

    Raffaella Burioni, Davide Cassi, Pasquale Sodano +2

    Article20063 citations
    ABI

  18. Electrodynamic response of current-biased elementary cubic networks of Josephson junctions

    R. De Luca, Francesco Romeo

    Article20023 citations
    ABI

  19. Convergence of resonances on thin branched quantum waveguides

    Pavel Exner, Olaf Post

    Article20072 citations
    ABI

  20. Semilinear Elliptic Equations on Thin Network-Shaped Domains with Variable Thickness

    Satoshi Kosugi

    Article20022 citations
    ABI

  21. Scattering Solutions in Networks of Thin Fibers: Small Diameter Asymptotics

    Stanislav Molchanov, B. Vaĭnberg

    Article20072 citations
    ABI

  22. Convergence of spectra of graph-like thin manifolds

    Pavel Exner, Olaf Post

    Article20042 citations
    ABI

  23. Towards Bose–Einstein condensation of excitons in potential traps

    L. V. Butov, Chih‐Wei Lai, A. L. Ivanov +2

    Article20022 citations
    ABI

  24. Two-dimensional discrete model for DNA dynamics: Longitudinal wave propagation and denaturation

    V. Muto, P. S. Lomdahl, P. L. Christiansen

    Article19902 citations
    ABI

  25. Optical discrete solitons in waveguide arrays I Soliton formation

    H. S. Eisenberg, Roberto Morandotti, Yaron Silberberg +3

    Article20022 citations
    ABI