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Bakhram Umarov
Associate Professor

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Bakhram Umarov obtained his BSc degree in physics from Tashkent State University and PhD degree in theoretical and mathematical physics from Nuclear Physics Institute, Tashkent. Upon completion of his BSc he took up a junior researcher position at the Heat Physics Department, Tashkent (1979-1982). In 1982-1985 he was PhD student in Nuclear Physics Institute, Tashkent. In 1985 he returned to Heat Physics Department as the researcher, and after obtaining the PhD degree in 1986 he was promoted to a senior researcher position. In 1993 he joined Physical Technical Institute, Tashkent as a senior re ... show more

  • - Diploma, Tashkent State University, Uzbekistan
  • PhD in Theoretical & Mathematical Physics - Doctor of Philosophy, Nuclear Physics Institute of Uzbek Academy of Sciences
  • Diploma in Physics - Diploma, Tashkent State University, Uzbekistan
  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Wave Phenomena and Propagation - Matter And Waves
  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Other Theoretical and Computational Physics n.e.c. - Theory of solitons and nonlinear oscillations and waves with applications in nonlinear optics and condensed matter physics. Perturbation and variation techniques for solitons. Nonlinear dynamics methods. Numerical modelling of the systems of stochastic partial and ordinary differential equations. Phase-space representations in quantum optics.
  • Natural Science ~ Physical Sciences ~ Acoustics and Optical Physics ~ Optics, Non-Linear Optics and Quantum Optics - Optic I
ADVANCED CALCULUS 2002/2003 2003/2004 2005/2006 2006/2007
ADVANCED MATHEMATICAL METHODS 2010/2011 2012/2013 2013/2014 2014/2015
ADVANCED MATHEMATICAL MTEHODS 2009/2010 2010/2011 2011/2012 2012/2013 2013/2014
ANALYSIS 2005/2006 2006/2007 2007/2008
ANALYTIC GEOMETRY 2006/2007
CALCULUS 2002/2003 2003/2004
DEVELOPING AND PROTECTING MATHEMATICAL IDEAS 2006/2007
ELECTRICITY AND MAGNETISM I 2019/2020
ELECTRICITY AND MAGNETISM II 2017/2018 2018/2019 2019/2020
INTRODUCTION TO OPTICS 2010/2011
LINEAR ALGEBRA 2005/2006
MATHEMATICAL ANALYSIS 2011/2012 2014/2015 2015/2016 2016/2017 2017/2018
MATHEMATICAL METHODS 2006/2007 2007/2008 2008/2009
MATTER AND WAVES 2007/2008 2008/2009 2009/2010 2010/2011
OPTIC 1 2007/2008 2008/2009 2009/2010 2010/2011
OPTIC II 2008/2009 2009/2010 2010/2011 2011/2012
PROBABILITY AND DATA ANALYSIS 2017/2018
PROBABILITY AND STATISTICAL INFERENCE II 2009/2010
QUANTUM MECHANICS II 2015/2016 2016/2017 2017/2018 2018/2019 2019/2020
VECTOR ANALYSIS 2012/2013 2013/2014 2014/2015 2015/2016 2016/2017 2017/2018 2018/2019
VIBRATION, WAVES AND OPTICS 2016/2017
In Progress
2018 - Present Vector solitons interaction with external potentials in Coupled Nonlinear Schrodinger Equation.
2016 - Present Floquet Engineering of Quantum Tunneling in the Array of Bose-Einstein Condensates with Spin-Orbit Coupling
2016 - Present Solitons and Unidirectional Scattering in Quadratically Nonlinear Optical Coupler with Parity -Time Symmetry
2013 - Present DYNAMICAL SYSTEMS AND THEIR APPLICATIONS (DSTA)
Completed
2016 - 2018 Soliton dynamics in a non intergrable continuous and discrete systems
2014 - 2016 Faraday Pattern In The Bose-Eintein Condensate With Spin-Orbit Coupling
2013 - 2016 Probing the Bound States in the Potential Well by Scattering of Matter-Wave Solutions
2013 - 2016 P-Adic Statistical Models and Dynamics of Localized Excitations of Bose-Einstein Condensates
2010 - 2015 The Soliton Radiation in an Optical System with Non-Kerr Nonlinearity
2009 - 2013 Nonlinear Waves in Bose-Einstein Condensates & Optical Waveguide Systems with Higher Order Nonlinearity
2008 - 2011 Quantum Markov Chains, Quantum Quadratic Stochastic Processes
2006 - 2010 Intrinsic Localized Vectorial Mode in BEC and Waveguide Systems with Cubic-Quintic Nonlinearity
Article
2018 Introduction to nonlinear discrete systems: theory and modelling. European Journal of Physics , 39 (5) pp.1-13
2017 Binary matter-wave compactons induced by inter-species scattering length modulations. Journal of Physics B: Atomic, Molecular and Optical Physics , 50 (16) pp.1-13
2016 Atomic coupler with two-mode squeezed vacuum state. Malaysian Journal of Mathematical Sciences , 10 pp.103-110
2016 Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates. Journal of Physics B: Atomic, Molecular and Optical Physics , 49 (12) pp.125307-1-125307-8
2016 Scattering of a two-soliton molecule by Gaussian potential barriers and wells. Journal of Physics: Conference Series , 697 pp.012023-1
2015 The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials. AIP Conference Proceedings , 1682 pp.020022-1
2015 Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates. Physics Letters A , 379 pp.1828-1832
2014 Exact solitonic solutions for optical media with χ(2) nonlinearity and PT-symmetric potentials. Journal of Physics: Conference Series , 553 (012001) pp.1-6
2014 Compacton matter waves in binary bose gases under strong nonlinear management. Physical Review A - Atomic, Molecular, and Optical Physics , 90 (063637) pp.1-11
2013 Variational analysis of soliton scattering by external potentials. Journal of Physics: Conference Series , 435 (012024) pp.012024-1
2013 Parametric excitation of solitons in dipolar Bose Einstein condensates. Modern Physics Letters B , 27 (25) pp.1350184(1)-350184(12)
2013 Three level atom in bad cavity. Middle-East Journal of Scientific Research , 13 pp.31-37
2013 Strongly localized modes in discrete salerno model. World Applied Sciences Journal , 21 pp.166-171
2013 Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method. Journal of Physics: Conference Series , 435 (012026) pp.012026-1
2013 Interaction of two pulses in defocusing nonlinear Schrodinger equation. Journal of Physics: Conference Series , 435 (012034) pp.1-4
2011 Variational analysis of flat-top solitons in Bose–Einstein condensates. International Journal of Modern Physics B , 25 (18) pp.2427-2440
2011 Modulational instability in salerno model. Australian Journal of Basic and Applied Sciences , 5 (5) pp.25-28
2011 Variational analysis of flat-top solitions in Bose-Einstein condensates. International Journal of Modern Physics B , 25 (18) pp.2427-2440
2010 Modulational Instability in Salerno Model . Australian Journal of Basic and Applied Sciences , 5 (5) pp.25-28
2009 Modulational instability in two-component discrete media with cubic-quintic nonlinearity. Physical Review E - Statistical, Nonlinear and Soft Matter Physics , 79 (4) pp.046605-1
2007 Anticlone Gaussian attack for continuous variable EPR correlations. Journal of Physics B: Atomic, Molecular and Optical Physics , 40 (6) pp.1153-1160
2007 Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation. Physica D: Nonlinear Phenomena , 232 (1) pp.54-61
2006 Generation of three-qubit entangled W-state by nonlinear optical state truncation. Journal of Physic B : Atomic, Molecular and Optical Physics , 39 (6) pp.1269-1274
2002 Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification. Physics Letters A , 305 (6) pp.371-306

Conference or Workshop Item

2018 Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit. In: 4th International Conference on Mathematical Applications in Engineering 2017 (ICMAE'17)
2018 Interaction of a spatial soliton on an interface between two nonlinear media. In: Simposium Kebangsaan Sains Matematik ke-26
2017 The soliton interaction in weakly nonlocal nonlinear media on the external potentials. In: 37 International Conference Quantum Probability and Related Topics
2017 Flat top solitons on linear gaussian potential. In: 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017)
2017 Localized solutions of extended discrete nonlinear schrödinger equation. In: 1st International Conference on Applied and Industrial Mathematics and Statistics 2017, ICoAIMS 2017
2017 Anti-continuum approach on odd solitons in binary discrete media with cubic-quintic nonlinearity. In: 37th International Conference on Quantum Probability and Related Topics, QP 2016
2017 Anti-continuum approach on nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattice. In: 37th International Conference on Quantum Probability and Related Topics, QP 2016
2017 Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016
2016 Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential. In: 37 International Conference Quantum Probability and Related Topics
2016 Compactons of binary bose gases in optical lattices with inter-species scattering length management. In: Australian Conference on Optical Fibre Technology, ACOFT 2016
2016 Soliton scattering on the external potential in weakly nonlocal nonlinear media. In: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14)
2016 Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management. In: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14)
2016 Atomic coupler with two-mode squeezed vacuum states. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14)
2015 Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation. In: 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education (ICREM7 2015)
2015 Markovian dynamics of the two-mode bose-einstein condensate. In: The 3rd International Postgraduate Conference in Science and Mathematics 2015 (IPCSM’15)
2015 The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials. In: International Conference on Applied Analysis and Mathematical Modeling
2015 Scattering of a two-soliton molecule by attractive potential well. In: International Conference of Algebra, Analysis and Quantum Probability
2014 Soliton scattering on the external potential in weakly nonlocal nonlinear media. In: ICMAE 2014
2014 Penyebaran soliton bagi persamaan Persamaan Kubik-Quintik Schrödinger Tak Linear terhadap potensi luar = The soliton scattering of the Cubic-Quintic Nonlinear Schrödinger Equation on the external potentials. In: Simposium Kebangsaan Sains Matematik Ke-22
2013 Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model. In: IIUM Congres on Science 2013 (iCOS 2013)
2013 Generalized quantum rotation gates using STIRAP . In: The 4th International Conference on Information & Communication Technology for the Muslim World (ICT4M)
2013 Squeezing in four-mode Kerr nonlinear coupler via phase space representation. In: International Conference on Mathematical Sciences and Statistics (ICMSS2013)
2012 Strongly localized modes in discrete salerno model. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012)
2012 Variational analysis of soliton scattering by external potentials. In: International Conference of Application Science & Technology (iCAST2012)
2012 Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method. In: International Conference of Application Science & Technology (iCAST2012)
2012 Interaction of two pulses in defocusing Nonlinear Schrödinger equation. In: International Conference of Application Science & Technology (iCAST2012)
2011 Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice. In: NANO-SciTech 2011
2011 Supercontinuum generation in nonlinear optical fibers with higher order nonlinearity. In: NANO-SciTech 2011
2009 Statics and dynamics solitons in Bose-Einstein condensates . In: National conference of Post Graduate Research - NCON-PGR

Book

Book Section

2011 Modulational instability in Salerno model. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.141-145
2011 Strongly localized models in two-component discrete media with cubic-quintic nonlinearity. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.184-194
2011 Linear wave propagation in single mode optical fibre . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.221-226
2011 The optical ray tracing technique in lens system within and beyond paraxial approximation . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.227-234
2011 Wave propagation in nonlinear and homogeneous media: Kerr media . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.235-240
2011 Matrix methods of optical resonators . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.241-246