Integrable nonlinear Schrödinger equation on simple networks: connection formula at vertices Z Sobirov, D Matrasulov, K Sabirov, S Sawada, K Nakamura Physical Review E 81 (6), 066602, 2010 | 66 | 2010 |
Soliton transport in tubular networks: Transmission at vertices in the shrinking limit H Uecker, D Grieser, Z Sobirov, D Babajanov, D Matrasulov Physical Review E 91 (2), 023209, 2015 | 33 | 2015 |
Stationary nonlinear Schrödinger equation on simplest graphs KK Sabirov, ZA Sobirov, D Babajanov, DU Matrasulov Physics Letters A 377 (12), 860-865, 2013 | 33 | 2013 |
Sine-Gordon solitons in networks: Scattering and transmission at vertices Z Sobirov, D Babajanov, D Matrasulov, K Nakamura, H Uecker EPL (Europhysics Letters) 115 (5), 50002, 2016 | 29 | 2016 |
Ideal quantum gas in an expanding cavity: Nature of nonadiabatic force K Nakamura, SK Avazbaev, ZA Sobirov, DU Matrasulov, T Monnai Physical Review E 83 (4), 041133, 2011 | 15 | 2011 |
Cauchy problem for the linearized KdV equation on general metric star graphs ZA Sobirov, MI Akhmedov, H Uecker Nanosystems: physics, chemistry, mathematics 6 (2), 198-204, 2015 | 14 | 2015 |
Transport in simple networks described by an integrable discrete nonlinear Schrdinger equation Z Sobirov, D Matrasulov, S Sawada, K Nakamura Phys. Rev. E 84, 026609, 2011 | 13 | 2011 |
Bernoulli's formula and Poisson's equations for a confined quantum gas: Effects due to a moving piston K Nakamura, ZA Sobirov, DU Matrasulov, SK Avazbaev Physical Review E 86 (6), 061128, 2012 | 12 | 2012 |
Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation K Nakamura, ZA Sobirov, DU Matrasulov, S Sawada Physical Review E 84 (2), 026609, 2011 | 12 | 2011 |
Time-dependent quantum graph DU Matrasulov, JR Yusupov, KK Sabirov, ZA Sobirov Nanosystems: physics, chemistry, mathematics 6 (2), 173–181, 2015 | 9 | 2015 |
Exact solutions of the Cauchy problem for the linearized KdV equation on metric star graphs ZA Sobirov, H Uecker, M Akhmedov Uzbek Mathematical Journal, 2015 | 9* | 2015 |
Linearized KdV equation on a metric graph ZA Sobirov, MI Akhmedov, OV Karpova, B Jabbarova NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS 6 (6), 757-761, 2015 | 9 | 2015 |
Nonlinear standing waves on planar branched systems: shrinking into metric graph Z Sobirov, D Babajanov, D Matrasulov NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS 8 (1), 29-37, 2017 | 6 | 2017 |
Complex Phenomena in Nanoscale Systems P Schmelcher, F Lenz, D Matrasulov, ZA Sobirov, SK Avazbaev Proceedings of the NATO Science for Peace and Security Series B: Physics and …, 2009 | 5 | 2009 |
On fundamental solutions of an equation with multiple third-order characteristics in a multidimensional space S Abdinazarov, Z Sobirov Proc. Int. Sci. Conf. Differential Equations with Partial Derivatives and …, 2004 | 4 | 2004 |
Soliton solutions of nonlinear Schrödinger equation on simple networks Z Sobirov, D Matrasulov, K Sabirov, S Sawada, K Nakamura arXiv preprint arXiv:0912.1687, 2009 | 3 | 2009 |
Unified Transform method for the Schrodinger Equation on a Simple Metric Graph G Khudayberganov, ZA Sobirov, MR Eshimbetov Journal of Siberian Federal University. Mathematics & Physics 12 (4), 412-420, 2019 | 2* | 2019 |
Stationary Nonlinear Schr\" odinger Equation on Simplest Graphs: Boundary conditions and exact solutions ZA Sobirov, KK Sabirov, DU Matrasulov arXiv preprint arXiv:1107.1220, 2011 | 2 | 2011 |
INITIAL BOUNDARY VALUE PROBLEM FOR THE LINEARIZED KDV EQUATION ON SIMPLE METRIC STAR GRAPH MI Akhmedov, ZA Sobirov, MR Eshimbetov TOSHKENT SHAHRIDAGI TURIN POLITEXNIKA UNIVERSITETI, 62, 2017 | 1 | 2017 |
Ballistic soliton transport in networks ZA Sobirov, KK Sabirov, D Matrasulov, AA Saidov, K Nakamura Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale, 215-231, 2014 | 1 | 2014 |