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Journal of the European Optical Society-Rapid Publications, Volume. 19, Issue 2, 2023035(2023)

Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)

Elsayed M.E. Zayed1, Mahmoud El-Horbaty1, Mohamed E.M. Alngar2, Reham M.A. Shohib3, Anjan Biswas4,5,6,7, Yakup Yıldırım8,9, Luminita Moraru10、*, Catalina Iticescu10, Dorin Bibicu11, Puiu Lucian Georgescu10, and Asim Asiri5
Author Affiliations
  • 1Mathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
  • 2Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Cairo 11585, Egypt
  • 3Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Cairo 379, Egypt
  • 4Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA
  • 5Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 6Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati 800201, Romania
  • 7Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa
  • 8Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
  • 9Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
  • 10Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania
  • 11Department of Business Administration, Faculty of Economics and Business Administration, Dunarea de Jos University of Galati, 59–61 Nicolae Balcescu Street, 800001 Galati, Romania
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    [1] S.G. Ali, B. Talukdar, S.K. Roy. Bright solitons in asymmetrically trapped Bose-Einstein condensates. Acta Phys. Pol. A, 111, 289-297(2007).

    [2] A.M. Ayela, G. Edah, C. Elloh, A. Biswas, M. Ekici, A.K. Alzahrani, M.R. Belic. Chirped super-Gaussian and super-sech pulse perturbation of nonlinear Schrödinger’s equation with quadratic–cubic nonlinearity by variational principle. Phys. Lett. A, 396, 127231(2021).

    [3] A.M. Ayela, G. Edah, A. Biswas, Q. Zhou, Y. Yildirim, S. Khan, A.K. Alzahrani, M.R. Belic. Dynamical system of optical soliton parameters for anti–cubic and generalized anti–cubic nonlinearities with super–Gaussian and super–sech pulses. Opt. Appl., 52, 117-128(2022).

    [4] A. Biswas. Dispersion–managed solitons in optical fibres. J. Opt A Pure Appl. Op., 4, 84-97(2001).

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    [8] P. Green, D. Milovic, A.K. Sarma, D.A. Lott, A. Biswas. Dynamics of super–sech solitons in optical fibers. J. Nonlinear Opt. Phys. Mater., 19, 339-370(2010).

    [9] T. Hirooka, S. Wabnitz. Nonlinear gain control of dispersion–managed soliton amplitude and collisions. Opt. Fiber Technol., 6, 109-121(2000).

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    [11] S. Mancas, S. Choudhury. A novel variational approach to pulsating solitons in the cubic–quintic Ginzburg-Lanadu equation. Theor. Math. Phys., 152, 1160-1172(2007).

    [12] D. Pal, S.G. Ali, B. Talukdar. Embedded soliton solutions: A variational study. Acta Phys. Pol. A., 113, 707-712(2008).

    [13] J. Rubinstein, G. Wolansky. A variational principle in optics. J. Opt. Soc. Am. B., 21, 2164-2172(2004).

    [14] V. Skarka, N.B. Aleksic. Dissipative optical solitons. Acta Phys. Pol. A, 112, 791-798(2007).

    [15] J. Zhang, J.-Y. Yu, N. Pan. Variational principles for nonlinear fiber optics. Chaos Solit. Fractals, 4, 309-311(2005).

    [16] Q. Zhou. Influence of parameters of optical fibers on optical soliton interactions. Chin. Phys. Lett., 39, 010501(2022).

    [17] C.C. Ding, Q. Zhou, H. Triki, Z.H. Hu. Interaction dynamics of optical dark bound solitons for a defocusing Lakshmanan-Porsezian-Daniel equation. Opt. Exp., 30, 40712-40727(2022).

    [18] H. Wang, Q. Zhou, W. Liu. Exact analysis and elastic interaction of multi-soliton for a two-dimensional Gross-Pitaevskii equation in the Bose-Einstein condensation. J. Adv. Res., 38, 179-190(2022).

    [19] W. Feng, L. Chen, G. Ma, Q. Zhou. Study on weakening optical soliton interaction in nonlinear optics. Nonlinear Dyn., 108, 2483-2488(2022).

    [20] T.Y. Wang, Q. Zhou, W.J. Liu. Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers. Chin. Phys. B, 31, 020501(2022).

    [21] Q. Zhou, Z. Huang, Y. Sun, H. Triki, W. Liu, A. Biswas. Collision dynamics of three-solitons in an optical communication system with third-order dispersion and nonlinearity. Nonlinear Dyn., 111, 5757-5765(2023).

    [22] C.C. Ding, Q. Zhou, H. Triki, Y. Sun, A. Biswas. Dynamics of dark and anti-dark solitons for the x-nonlocal Davey-Stewartson II equation. Nonlinear Dyn., 111, 2621-2629(2023).

    [23] Y. Zhong, H. Triki, Q. Zhou. Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential. Commun. Theoret. Phys., 75, 025003(2022).

    [24] Q. Zhou, H. Triki, J. Xu, Z. Zeng, W. Liu, A. Biswas. Perturbation of chirped localized waves in a dual-power law nonlinear medium. Chaos, Solitons & Fractals, 160, 112198(2022).

    [25] Q. Zhou, Y. Zhong, H. Triki, Y. Sun, S. Xu, W. Liu, A. Biswas. Chirped bright and kink solitons in nonlinear optical fibers with weak nonlocality and cubic-quantic-septic nonlinearity. Chin. Phys. Lett., 39, 044202(2022).

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    Elsayed M.E. Zayed, Mahmoud El-Horbaty, Mohamed E.M. Alngar, Reham M.A. Shohib, Anjan Biswas, Yakup Yıldırım, Luminita Moraru, Catalina Iticescu, Dorin Bibicu, Puiu Lucian Georgescu, Asim Asiri. Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)[J]. Journal of the European Optical Society-Rapid Publications, 2023, 19(2): 2023035

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    Paper Information

    Category: Research Articles

    Received: Jun. 3, 2023

    Accepted: Jul. 6, 2023

    Published Online: Dec. 23, 2023

    The Author Email: Moraru Luminita (luminita.moraru@ugal.ro)

    DOI:10.1051/jeos/2023035

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology