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Z. A. Sobirov

30 works

Heat Physics Department, Uzbek Academy of Sciences, 100135 Tashkent, Uzbekistan

  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
    ABI

  3. Stationary nonlinear Schrödinger equation on simplest graphs

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

    ArticleAdvanced Mathematical Physics ProblemsPhysics Letters A201318 citations
    ABI

  4. 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

  5. Ideal quantum gas in an expanding cavity: Nature of nonadiabatic force

    Katsuhiro Nakamura, S. K. Avazbaev, Z. A. Sobirov +2

    ArticleCold Atom Physics and Bose-Einstein CondensatesPhysical Review E20118 citations
    ABI

  6. Time-dependent quantum graph

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

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics20155 citations
    ABI

  7. Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph

    Gulmirza Khudayberganov, Z. A. Sobirov, M. R. Eshimbetov

    ArticlePhotonic and Optical DevicesJournal of Siberian Federal University Mathematics & Physics20194 citations
    ABI

  8. Bernoulli's formula and Poisson's equations for a confined quantum gas: Effects due to a moving piston

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

    ArticleAdvanced Thermodynamics and Statistical MechanicsPhysical Review E20124 citations
    ABI

  9. 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

  10. Cauchy problem for the linearized KdV equation on general metric star graphs

    Z. A. Sobirov, Maqsad. I. Akhmedov, Hannes Uecker

    ArticleAdvanced Mathematical Physics ProblemsNanosystems Physics Chemistry Mathematics20152 citations
    ABI

  11. 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

  12. Inverse Source Problem for the Subdiffusion Equation on a Metric Star Graph with Integral Overdetermination Condition

    Z. A. Sobirov

    ArticleNumerical methods in inverse problemsLobachevskii Journal of Mathematics20231 citations
    ABI

  13. A non‐local problem for a time‐fractional differential equation with the Hilfer operator on metric graph

    Erkinjon Karimov, Z. A. Sobirov, J.R. Khujakulov

    ArticleDifferential Equations and Boundary ProblemsMathematical Methods in the Applied Sciences20241 citations
    ABI

  14. Fokas Method for the Heat Equation on Metric Graphs

    Z. A. Sobirov, M. R. Eshimbetov

    Articleadvanced mathematical theoriesJournal of Mathematical Sciences20241 citations
    ABI

  15. The method of potentials for the heat equation with involution

    Z. A. Sobirov, Baxtiyar Kadirkulov, Dilfuza Uzaqbaeva

    ArticleDifferential Equations and Boundary ProblemsKazakh mathematical journal.20261 citations
    ABI

  16. 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

  17. INVERSE SPECTRAL PROBLEM FOR ATOM-LIKE MESONS

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

    ArticleSpectral Theory in Mathematical PhysicsModern Physics Letters A20080 citations
    ABI

  18. Time-Dependent Quantum Billiards

    Peter Schmelcher, F. Lenz, D. U. Matrasulov +2

    ChapterQuantum chaos and dynamical systemsNATO science for peace and security series. B, Physics and biophysics20090 citations
    ABI

  19. Time Dependent Neutrino Billiards

    Z. A. Sobirov, D. Matrasulov, Sh. Ataev +1

    ChapterQuantum chaos and dynamical systemsNATO science for peace and security series. B, Physics and biophysics20090 citations
    ABI

  20. Ballistic Soliton Transport in Networks

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

    ChapterNonlinear Photonic SystemsNATO science for peace and security series. C, Environmental security20140 citations
    ABI

  21. Time-dependent quantum circular billiard

    D. Babajanov, D. U. Matrasulov, Z. A. Sobirov +2

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics20150 citations
    ABI

  22. The relativistic inverse scattering problem for quantum graphs

    K.K. Sabirov, Z. A. Sobirov, О. В. Карпова +1

    ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20150 citations
    ABI

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

    Z. A. Sobirov, D. Babajanov, D. U. Matrasulov

    ArticleNonlinear Photonic SystemsNanosystems Physics Chemistry Mathematics20170 citations
    ABI

  24. Green's function method for time-fractional diffusion equation on the star graph with equal bonds

    Z. A. Sobirov, Kamoladdin Rakhimov, R.E. Ergashov

    ArticleFractional Differential Equations SolutionsNanosystems Physics Chemistry Mathematics20210 citations
    ABI

  25. Fokas Method for the Heat Equation on Metric Graphs

    Z. A. Sobirov, M. R. Eshimbetov

    ArticleRadiative Heat Transfer StudiesContemporary Mathematics Fundamental Directions20210 citations
    ABI