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39 works

Work: Quantum graphs: Applications to quantum chaos and universal spectral statistics

  1. 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

  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
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  3. Transparent quantum graphs

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

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

  4. Stationary nonlinear Schrödinger equation on simplest graphs

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

    ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
    ABI

  5. Transparent nonlinear networks

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

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  6. 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

  7. Charged solitons in branched conducting polymers

    D. Babajanov, H. Matyokubov, D. Matrasulov

    ArticleOrganic Electronics and PhotovoltaicsThe Journal of Chemical Physics201813 citations
    ABI

  8. Bogoliubov de Gennes equation on metric graphs

    K.K. Sabirov, Doniyor Jumanazarov, Jambul Yusupov +1

    ArticleTopological Materials and PhenomenaPhysics Letters A201811 citations
    ABI

  9. PT-symmetric quantum graphs

    D. U. Matrasulov, K K Sabirov, Jambul Yusupov

    ArticleQuantum Mechanics and Non-Hermitian PhysicsJournal of Physics A Mathematical and Theoretical201910 citations
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  10. 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

  11. 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

  12. Fokker–Planck equation on metric graphs

    Jasur Matrasulov, K.K. Sabirov

    ArticleTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications20226 citations
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  13. Transparent PT-symmetric nonlinear networks

    M. Akramov, Jambul Yusupov, Matthias Ehrhardt +2

    ArticleQuantum Mechanics and Non-Hermitian PhysicsPhysica Scripta20256 citations
    ABI

  14. 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

  15. Time-dependent quantum graph

    D. U. Matrasulov, Jambul Yusupov, K.K. Sabirov +1

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics20155 citations
    ABI

  16. Dynamics of polarons in branched conducting polymers

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

    ArticleConducting polymers and applicationsNanosystems Physics Chemistry Mathematics20205 citations
    ABI

  17. Directed transport in quantum star graphs

    Jambul Yusupov, Maxim Dolgushev, A. Blumen +1

    ArticleCold Atom Physics and Bose-Einstein CondensatesQuantum Information Processing20164 citations
    ABI

  18. Particle transport in a network of quantum harmonic oscillators

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

    ArticleQuantum and electron transport phenomenaNanosystems Physics Chemistry Mathematics20203 citations
    ABI

  19. Driven transparent quantum graphs

    Jambul Yusupov, Matthias Ehrhardt, Kh. Sh. Matyokubov +1

    ArticleQuantum Computing Algorithms and ArchitecturePhysica Scripta20252 citations
    ABI

  20. UNIQUE SOLVABILITY OF IBVP FOR PSEUDO-SUBDIFFUSION EQUATION WITH HILFER FRACTIONAL DERIVATIVE ON A METRIC GRAPH

    Z. A. Sobirov, J.R. Khujakulov, A. A. Turemuratova

    ArticleFractional Differential Equations SolutionsЧелябинский физико-математический журнал20232 citations
    ABI

  21. Fokas Method for the Heat Equation on Metric Graphs

    Z. A. Sobirov, M. R. Eshimbetov

    Articleadvanced mathematical theoriesJournal of Mathematical Sciences20241 citations
    ABI

  22. The Time-fractional Airy Equation on the Metric Graph

    Kamoladdin Rakhimov, Z. A. Sobirov

    ArticleDifferential Equations and Boundary ProblemsJournal of Siberian Federal University Mathematics & Physics20211 citations
    ABI

  23. Tunable wave packet transport in branched periodic lattices with time-dependent external field

    Jambul Yusupov

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics20171 citations
    ABI

  24. Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds

    K.K. Sabirov, Мерсаид Арипов, D.B. Sagdullayev

    Articleadvanced mathematical theoriesNanosystems Physics Chemistry Mathematics20171 citations
    ABI

  25. Kicked particle dynamics in quantum graphs

    Jambul Yusupov, Valijon Eshniyozov, О. В. Карпова +1

    ArticleCold Atom Physics and Bose-Einstein CondensatesNanosystems Physics Chemistry Mathematics20151 citations
    ABI