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Busul Aklan, Nor Amirah and Muhammad Husairi, Nur Fatin Ikhwani and Samiun, Anis Sulaikha and Umarov, Bakhram A. (2023) Dynamics of two-soliton molecule with impurities. Menemui Matematik (Discovering Mathematics), 45 (1). pp. 112-123. ISSN 0126-9003
Mat Din, Mohd Azid and Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah Busul and Ahmad Kamely, Aizuddin (2020) Interaction of a spatial soliton on an interface between two nonlinear media. ASM Science Journal, 13. pp. 1-8. ISSN 1823-6782 E-ISSN 2682-8901
Ismail, Nazmi Hakim and Umarov, Bakhram and Abdul Hadi, Muhammad Salihi and Mohd Busul Aklan, Nor Amirah and Mat Din, Muhammad Azid (2020) Plane wave solution of extended discrete nonlinear Schrödinger equation. Malaysian Journal of Fundamental and Applied Sciences, 16 (5). pp. 505-507. ISSN 2289-5981 E-ISSN 2289-599X
Mat Din, Mohd Azid and Umarov, Bakhram and Mohd Busul Aklan, Nor Amirah and Abdul Hadi, Muhammad Salihi and Ismail, Nazmi Hakim (2020) Scattering of the vector soliton in coupled nonlinear Schrödinger equation with Gaussian potential. Malaysian Journal of Fundamental and Applied Sciences, 16 (5). pp. 500-504. ISSN 2289-5981 E-ISSN 2289-599X
Tsoy, Eduard N. and Umarov, Bakhram A. (2018) Introduction to nonlinear discrete systems: theory and modelling. European Journal of Physics, 39 (5). pp. 1-13. ISSN 0143-0807 E-ISSN 1361-6404
Abdullaev, Fatkhulla Kh H. and Hadi, Morteza S.A. and Salerno, Mario and Umarov, Bakhram (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. ISSN 0953-4075
Umarov, Bakhram A. and Mohd Busul Aklana, Nor Amirah and Baizakov, Bakhtiyor B. and Abdullaev, Fatkhulla Kh. (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. ISSN 0953-4075 E-ISSN 1361-6455
Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah and Baizakov, Bakhtiyor B and Abdullaev, Fatkhulla (2016) Scattering of a two-soliton molecule by Gaussian potential barriers and wells. Journal of Physics: Conference Series, 697. 012023-1. ISSN 1742-6588 E-ISSN 1742-6596
Messikh Azeddine, Azeddine and Mahmoud Ahmed, Gharib Subhi and Umarov, Bakhram A. and Wahiddin, Mohamed Ridza (2016) Atomic coupler with two-mode squeezed vacuum state. Malaysian Journal of Mathematical Sciences, 10. pp. 103-110. E-ISSN 1823-8343
Mohd Busul Aklan, Nor Amirah and Umarov, Bakhram A. (2015) The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials. AIP Conference Proceedings, 1682. 020022-1. ISSN 0094-243X (P), 1551-7616 (O)
Turmanov, B. Kh. and Baizakov, Bakhtiyor B and Umarov, Bakhram and Abdullaev, Fatkhulla (2015) Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates. Physics Letters A, 379. pp. 1828-1832. ISSN 0375-9601
Abdullaev, Fatkhulla and Abdul Hadi, Muhammad Salihi and Salerno, Mario and Umarov, Bakhram (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. ISSN 1050-2947
Abdullaev, Fatkhulla Kh. and Umarov, Bakhram (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. ISSN 1742-6588 (P), 1742-6596 (O)
Benseghir, A and Wan Abdullah, Wan Ahmad Tajuddin and Umarov, Bakhram and Baizakov, Bakhtiyor B (2013) Parametric excitation of solitons in dipolar Bose Einstein condensates. Modern Physics Letters B, 27 (25). 1350184(1)-350184(12). ISSN 1793-6640 (O), 0217-9849 (P)
Hassan, Torla and Tadjimuratov, Sadulla and Wahiddin, Mohamed Ridza and Regaa, Nassima and Umarov, Bakhram A. (2013) Interaction of two pulses in defocusing nonlinear Schrodinger equation. Journal of Physics: Conference Series, 435 (012034). pp. 1-4. ISSN 1742-6588
Umarov, Bakhram and Benseghir, A and Wan Abdullah, Wan Ahmad Tajuddin and C., H. Ooi and Bouketir, Ahmed and Messikh, Azeddin (2013) Strongly localized modes in discrete salerno model. World Applied Sciences Journal , 21. pp. 166-171. ISSN 1818-4952
Messikh, Azeddin and Umarov, Bakhram (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). 012026-1. ISSN 1742-6588 (P), 1742-6596 (O)
Messikh Azeddine, Azeddine and Umarov, Bakhram A. and Gharib, Subhi Mahmoud Ahmed and Wahiddin, Mohamed Ridza (2013) Three level atom in bad cavity. Middle-East Journal of Scientific Research, 13. pp. 31-37. ISSN 1990-9233
Umarov, Bakhram and Messikh, Azeddin and Regaa, Nassima and Bayzakov, Bakhtiyor (2013) Variational analysis of soliton scattering by external potentials. Journal of Physics: Conference Series, 435 (012024). 012024-1. ISSN 1742-6588 (P), 1742-6596 (O)
Umarov, Bakhram and Abdelaziz, Benseghir and Messikh, Azeddin (2011) Modulational instability in salerno model. Australian Journal of Basic and Applied Sciences, 5 (5). pp. 25-28. ISSN 1991-8178
Baizakov, B and Bouketir, A and Az Eddine , Messikh and Benseghir, A and Umarov, Bakhram (2011) Variational analysis of flat-top solitions in Bose-Einstein condensates. International Journal of Modern Physics B, 25 (18). pp. 2427-2440. ISSN 0217-9792 ; 1793-6578
Banseghir, A. and Umarov, Bakhram and Messikh, Azeddin (2010) Modulational Instability in Salerno Model. Australian Journal of Basic and Applied Sciences, 5 (5). pp. 25-28. ISSN 1991-8178
Baizakov, Bakhtiyor B and Bouketir, Ahmed and Messikh, Azeddin and Umarov, Bakhram (2009) Modulational instability in two-component discrete media with cubic-quintic nonlinearity. Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 79 (4). 046605-1. ISSN 1539-3755 (P), 1550-2376 (O)
Messikh Azeddine, Azeddine and Bouketir, Ahmed and Umarov, Bakhram A. and Wahiddin, Mohamed Ridza (2007) Anticlone Gaussian attack for continuous variable EPR correlations. Journal of Physics B: Atomic, Molecular and Optical Physics, 40 (6). pp. 1153-1160. ISSN 0953-4075
Abdullaev, Fatkhulla Kh. and Bouketir, Ahmed and Messikh, Azeddin and Umarov, Bakhram (2007) Modulational instability and discrete breathers in discrete cubic–quintic nonlinear Schrodinger equation. Physica D: Nonlinear Phenomena, 232 (1). pp. 54-61. ISSN 0167-2789
Said, Ressa Suhardiman and Wahiddin, Mohamed Ridza and Umarov, Bakhram A. (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. ISSN 0953-4075
Abdullaev, Fatkhulla Kh. and Abdumalikov, Abdufarrukh A. and Umarov, Bakhram (2002) Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification. Physics Letters A, 305 (6). pp. 371-306. ISSN 0375-9601
Book Chapter
Shabar, Mohammad Rodhi and Umarov, Bakhram (2011) Linear wave propagation in single mode optical fibre. In: Investigations on Pure Mathematics, Finance Mathematics and Optics. IIUM Press, Kuala Lumpur, pp. 221-226. ISBN 9789674181987
Mohd Mansor, Siti Aminah and Umarov, Bakhram (2011) Matrix methods of optical resonators. In: Investigations on Pure Mathematics, Finance Mathematics and Optics. IIUM Press, Kuala Lumpur, pp. 241-246. ISBN 9789674181987
Benseghir, A and Umarov, Bakhram and Messikh, Azeddin (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, Kuala Lumpur, pp. 141-145. ISBN 9789674182014
Umarov, Bakhram and Bouketir, Ahmed (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, Kuala Lumpur, pp. 184-194. ISBN 9789674182014
Abdul Khahar, Normala and Umarov, Bakhram (2011) Wave propagation in nonlinear and homogeneous media: Kerr media. In: Investigations on Pure Mathematics, Finance Mathematics and Optics. IIUM Press, Kuala Lumpur, pp. 235-240. ISBN 9789674181987
Ali, Muhd Aizuddin and Umarov, Bakhram (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, Kuala Lumpur, pp. 227-234. ISBN 9789674181987
Proceeding Paper
Busul Aklan, Nor Amirah and Faizar, F A and Umarov, Bakhram A. (2021) Interactions of Soliton in weakly nonlocal nonlinear media. In: 28th Simposium Kebangsaan Sains Matematik, SKSM 2021, 28-29 July 2021, Virtual.
Busul Aklan, Nor Amirah and Ishak, N A S and Umarov, Bakhram A. (2021) Vector soliton in coupled nonlinear Schrödinger equation. In: 28th Simposium Kebangsaan Sains Matematik, SKSM 2021, 28-29 July 2021, Virtual.
Mat Din, Mohd Azid and Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah Busul and Abdul Hadi, Muhammad Salihi and Ismail, Nazmi Hakim (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), 26th-28th August 2019, Kuantan, Pahang. (Unpublished)
Abdul Taib, Luckman and Abdul Hadi, Muhammad Salihi and Umarov, Bakhram A. (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), 8th–9th of August 2017, Kuala Lumpur, Malaysia.
Mat Din, Mohd Azid and Ahmad Kamely, Aizuddin and Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah (2018) Interaction of a spatial soliton on an interface between two nonlinear media. In: Simposium Kebangsaan Sains Matematik ke-26, 28-29 November 2018, Kota Kinabalu, Sabah. (Unpublished)
Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah and Rosly, M.R. and Hassan, Torla (2017) Flat top solitons on linear gaussian potential. In: 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017), 8th–10th August 2017, Kuantan, Pahang.
Taib, L. A. and Hadi, Morteza S.A. and Umarov, Bakhram A. and UNSPECIFIED (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, 22-26 August 2016, Kulliyyah of Science, International Islamic University Malaysia, Kuantan..
Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah Busul (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, 22nd-26th August 2016, Kuantan, Pahang, Malaysia.
Mohd Busul Aklan, Nor Amirah Busul and Umarov, Bakhram A. (2017) The soliton interaction in weakly nonlocal nonlinear media on the external potentials. In: 37 International Conference Quantum Probability and Related Topics, 22nd-26th August, 2016, Kuantan, Pahang.
Badarudin, M. H. and Hadi, Morteza S.A. and Umarov, Bakhram A. (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, 22–26 August 2016, International Islamic University Malaysia, Kuantan,.
Umarov, Bakhram A. and Ismail, Nazmi Hakim and Abdul Hadi, Muhammad Salihi and Hassan, Torla (2017) Localized solutions of extended discrete nonlinear schrödinger equation. In: 1st International Conference on Applied and Industrial Mathematics and Statistics 2017, ICoAIMS 2017, 8-10 August 2017, Vistana City CentreKuantan.
Abdullaev, Fatkhulla and Abdul Hadi, Muhammad Salihi and Salerno, Mario and Umarov, Bakhram A. (2016) Compactons of binary bose gases in optical lattices with inter-species scattering length management. In: Australian Conference on Optical Fibre Technology, ACOFT 2016, 5-6 September 2016, Sydney, Australia.
Umarov, Bakhram A. and Busul Aklan, Nor Amirah (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, 22nd-26th August, 2016, Kuantan, Pahang. (Unpublished)
Messikh Azeddine, Azeddine and Mahmoud Ahmed, Gharib Subhi and Umarov, Bakhram A. and Wahiddin, Mohamed Ridza (2016) Atomic coupler with two-mode squeezed vacuum states. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14), 23-25 Sept. 2014, Kuala Lumpur.
Abdul Hadi, Muhammad Salihi and Umarov, Bakhram A. and Abdullaev, Fatkhulla Kh. and M, Salerno (2016) Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management. In: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14), 23rd-25th November 2015, Kuala Lumpur, Malaysia.
Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah (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), 23-25 September 2014, Kuala Lumpur, Malaysia.
Aklana, Nor Amirah Busul and Umarov, Bakhram (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), 25th-27th August, 2015, Kuala Lumpur.
Rajagopal, Kalai Kumar and Umarov, Bakhram and Muniandy, Sithi (2015) Markovian dynamics of the two-mode bose-einstein condensate. In: The 3rd International Postgraduate Conference in Science and Mathematics 2015 (IPCSM’15), 10th -11th October 2015, Sultan Idris Education University.
Umarov, Bakhram and Baizakov, B. B. and Aklana, Nor Amirah Busul and Abdullaev, Fatkhulla (2015) Scattering of a two-soliton molecule by attractive potential well. In: International Conference of Algebra, Analysis and Quantum Probability, 10-12 September, 2015, Tashkent, Uzbekistan.
Aklana, Nor Amirah Busul and Umarov, Bakhram (2015) The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials. In: International Conference on Applied Analysis and Mathematical Modeling , 8-12 June, 2015, Istanbul, Turkey. (Unpublished)
Aklana , Nor Amirah Busul and Umarov, Bakhram (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, 24th-26th November 2014, Shah Alam, Selangor.
Umarov, Bakhram and Busul Aklan, Nor Amirah (2014) Soliton scattering on the external potential in weakly nonlocal nonlinear media. In: ICMAE 2014, 23-25 September 2014, Sunway Putra Hotel, Kuala Lumpur. (Unpublished)
Issoufa, Youssouf Hamidou and Az Eddine, Messikh and Wahiddin, Mohamed Ridza and Umarov, Bakhram A. and Gharib, Subhi Mahmoud Ahmed (2013) Generalized quantum rotation gates using STIRAP. In: The 4th International Conference on Information & Communication Technology for the Muslim World (ICT4M), 25-27 Mar 2013, Rabat, Moroco.
Umarov, Bakhram (2013) Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model. In: IIUM Congres on Science 2013 (iCOS 2013), 3-4 December 2013, Pahang, Malaysia.
Julius, Rafael and Ibrahim, Abdel-Baset and Deni, Mohd Salleh and Umarov, Bakhram (2013) Squeezing in four-mode Kerr nonlinear coupler via phase space representation. In: International Conference on Mathematical Sciences and Statistics (ICMSS2013), 5-7 February 2013, Sunway Putra Hotel, Kuala Lumpur, MALAYSIA.
Hassan, Torla and Tadjimuratov, Sadulla and Wahiddin, Mohamed Ridza and Umarov, Bakhram A. (2012) Interaction of two pulses in defocusing Nonlinear Schrödinger equation. In: International Conference of Application Science & Technology (iCAST2012), 7-10 November 2012, Kuantan, Pahang.
Messikh, Azeddin and Umarov, Bakhram (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), 7-10 November 2012, Kuantan, Pahang.
Umarov, Bakhram and Messikh, Azeddin and Regaa, Nassima and Baizakov, Bakhtiyor B (2012) Variational analysis of soliton scattering by external potentials. In: International Conference of Application Science & Technology (iCAST2012), 7-10 November 2012, Kuantan, Pahang.
Benzeghir, Abdelaziz and Messikh, Azeddin and Umarov, Bakhram and Wan Abdullah, Wan Ahmad Tajuddin and A., Bouketir and Ooi, C. H. Raymond (2012) Strongly localized modes in discrete salerno model. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3 - 5 July 2012, Seri Pacific Hotel Kuala Lumpur, Malaysia.
Umarov, Bakhram and Benzeghir, Abdelaziz (2011) Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice. In: NANO-SciTech 2011, 2-3 March, 2011, Concorde Hotel, Shah Alam, Selangor, Malaysia. (Unpublished)
Umarov, Bakhram and Hassan, Torla (2011) Supercontinuum generation in nonlinear optical fibers with higher order nonlinearity. In: NANO-SciTech 2011, 2-3 March, 2011, Concorde Hotel, Shah Alam, Selangor, Malaysia. (Unpublished)
Benseghir, A and Umarov, Bakhram and Messikh, Azeddin (2009) Statics and dynamics solitons in Bose-Einstein condensates. In: National conference of Post Graduate Research - NCON-PGR, 1st October 2009, Pahang.
Monograph
Umarov, Bakhram (2019) Solitons and unidirectional scattering in quadratically nonlinear optical coupler with parity-time symmetry. Project Report. UNSPECIFIED. (Unpublished)