Researchers

Researchers

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Bakhram Umarov
Associate Professor

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Staff Details

  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Wave Phenomena and Propagation
  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Other Theoretical and Computational Physics n.e.c.
  • Natural Science ~ Physical Sciences ~ Acoustics and Optical Physics ~ Optics, Non-Linear Optics and Quantum Optics
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 II 2017/2018 2018/2019 2019/2020 2020/2021
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 2020/2021
VECTOR ANALYSIS 2012/2013 2013/2014 2014/2015 2015/2016 2016/2017 2017/2018 2018/2019
VIBRATION, WAVES AND OPTICS 2016/2017 2019/2020
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
2016 - 2019 Floquet Engineering of Quantum Tunneling in the Array of Bose-Einstein Condensates with Spin-Orbit Coupling
2016 - 2019 Floquet Engineering of Quantum Tunneling in the Array of Bose-Einstein Condensates with Spin-Orbit Coupling
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 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
2016 Scattering of a two-soliton molecule by Gaussian potential barriers and wells. Journal of Physics: Conference Series , 697 pp.012023-1
2016 Atomic coupler with two-mode squeezed vacuum state. Malaysian Journal of Mathematical Sciences , 10 pp.103-110
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 Compacton matter waves in binary bose gases under strong nonlinear management. Physical Review A - Atomic, Molecular, and Optical Physics , 90 (063637) pp.1-11
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
2013 Parametric excitation of solitons in dipolar Bose Einstein condensates. Modern Physics Letters B , 27 (25) pp.1350184(1)-350184(12)
2013 Variational analysis of soliton scattering by external potentials. Journal of Physics: Conference Series , 435 (012024) pp.012024-1
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
2013 Three level atom in bad cavity. Middle-East Journal of Scientific Research , 13 pp.31-37
2011 Modulational instability in salerno model. Australian Journal of Basic and Applied Sciences , 5 (5) pp.25-28
2011 Variational analysis of flat-top solitons in Bose–Einstein condensates. International Journal of Modern Physics B , 25 (18) pp.2427-2440
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

2019 Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential. In: Workshop on Dynamical Systems and Their Applications in Mathematical Physics, Engineering, and Economics 2019 (WDS 2019)
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 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
2017 The soliton interaction in weakly nonlocal nonlinear media on the external potentials. In: 37 International Conference Quantum Probability and Related Topics
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 Flat top solitons on linear gaussian potential. In: 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017)
2016 Atomic coupler with two-mode squeezed vacuum states. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14)
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 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 Compactons of binary bose gases in optical lattices with inter-species scattering length management. In: Australian Conference on Optical Fibre Technology, ACOFT 2016
2015 Scattering of a two-soliton molecule by attractive potential well. In: International Conference of Algebra, Analysis and Quantum Probability
2015 Markovian dynamics of the two-mode bose-einstein condensate. In: The 3rd International Postgraduate Conference in Science and Mathematics 2015 (IPCSM’15)
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 The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials. In: International Conference on Applied Analysis and Mathematical Modeling
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
2014 Soliton scattering on the external potential in weakly nonlocal nonlinear media. In: ICMAE 2014
2013 Squeezing in four-mode Kerr nonlinear coupler via phase space representation. In: International Conference on Mathematical Sciences and Statistics (ICMSS2013)
2013 Generalized quantum rotation gates using STIRAP . In: The 4th International Conference on Information & Communication Technology for the Muslim World (ICT4M)
2013 Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model. In: IIUM Congres on Science 2013 (iCOS 2013)
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)
2012 Strongly localized modes in discrete salerno model. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012)
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 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
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