Journal of the European Optical Society-Rapid Publications, Volume. 19, Issue 2, 2023031(2023)

Optical solitons and conservation laws for the concatenation model with spatio-temporal dispersion (internet traffic regulation)

Ahmed H. Arnous1, Anjan Biswas2,3,4,5, Abdul H. Kara6, Yakup Yıldırım7, Luminita Moraru8、*, Catalina Iticescu8, Simona Moldovanu9, and Abdulah A. Alghamdi3
Author Affiliations
  • 1Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo 11837, Egypt
  • 2Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA
  • 3Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 4Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati 800201, Romania
  • 5Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa
  • 6School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa
  • 7Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
  • 8Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
  • 9Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
  • show less
    References(34)

    [1] A. Ankiewicz, N. Akhmediev. Higher-order integrable evolution equation and its soliton solutions. Phys. Lett. A, 378, 358-361(2014).

    [2] A. Ankiewicz, Y. Wang, S. Wabnitz, N. Akhmediev. Extended nonlinear Schrödinger equation with higher-order odd and even terms and its rogue wave solutions. Phys. Rev. E, 89, 012907(2014).

    [3] A. Biswas, J. Vega-Guzman, A.H. Kara, S. Khan, H. Triki, O. Gonzalez-Gaxiola, L. Moraru, P.L. Georgescu. Optical solitons and conservation laws for the concatenation model: undetermined coefficients and multipliers approach. Universe, 9(2023).

    [4] A. Biswas, J. Vega-Guzman, Y. Yildirim, L. Moraru, C. Iticescu, A.A. Alghamdi. Optical solitons for the concatenation model with differential group delay: undetermined coefficients. Mathematics, 11, 2012(2023).

    [5] O. González-Gaxiola, A. Biswas, J. Ruiz de Chavez, A.A. Alghamdi. Bright and dark optical solitons for the concatenation model by the Laplace–Adomian decomposition scheme(2023).

    [6] A. Kukkar, S. Kumar, S. Malik, A. Biswas, Y. Yildirim, S.P. Moshokoa, S. Khan, A.A. Alghamdi. Optical soliton for the concatenation model with Kudryashov’s approaches. Ukr. J. Phys. Opt., 24, 155-160(2023).

    [7] H. Triki, Y. Sun, Q. Zhou, A. Biswas, Y. Yıldırım, H.M. Alshehri. Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects. Chaos Solitons Fractals, 164, 112622(2022).

    [8] M.-Y. Wang, A. Biswas, Y. Yıldırım, L. Moraru, S. Moldovanu, H.M. Alshehri. Optical solitons for a concatenation model by trial equation approach. Electronics, 12(2023).

    [9] N.A. Kudryashov, A. Biswas, A.G. Borodina, Y. Yildirim, H.M. Alshehri. Painleve analysis and optical solitons for a concatenated model. Optik, 272, 170255(2023).

    [10] Y. Yıldırım, A. Biswas, L. Moraru, A.A. Alghamdi. Quiescent optical solitons for the concatenation model with nonlinear chromatic dispersion. Mathematics, 11(2023).

    [11] 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).

    [12] 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).

    [13] Q. Zhou, M. Xu, Y. Sun, Y. Zhong, M. Mirzazadeh. Generation and transformation of dark solitons, anti-dark solitons and dark double-hump solitons. Nonlinear Dyn., 110, 1747-1752(2022).

    [14] 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).

    [15] 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. Theor. Phys., 75, 025003(2023).

    [16] 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).

    [17] N.A. Kudryashov. Model of propagation pulses in an optical fiber with a new law of refractive indices. Optik, 248, 168160(2021).

    [18] N.A. Kudryashov. Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation. Optik, 206, 164335(2021).

    [19] M. Bayram. Optical bullets with Biswas-Milovic equation having Kerr and parabolic laws of nonlinearity. Optik, 270, 170046(2022).

    [20] T.L. Belyaeva, M.A. Agüero, V.N. Serkin. Nonautonomous solitons of the novel nonlinear Schrödinger equation: Self-compression, amplification, and the bound state decay in external potentials. Optik, 244, 167584(2021).

    [21] V.N. Serkin, A. Ramirez, T.L. Belyaeva. Nonlinear-optical analogies to the Moses sea parting effect: Dark soliton in forbidden dispersion or nonlinearity. Optik, 192, 162928(2019).

    [22] L. Tang. Phase portraits and multiple optical solitons perturbation in optical fibers with the nonlinear Fokas–Lenells equation(2021).

    [23] M.-Y. Wang. Optical solitons of the perturbed nonlinear Schrödinger equation in Kerr media. Optik, 243, 167382(2021).

    [24] M.-Y. Wang. Highly dispersive optical solitons of perturbed nonlinear Schrödinger equation with Kudryashov’s sextic-power law nonlinear. Optik, 267, 169631(2022).

    [25] M.-Y. Wang. Optical solitons with perturbed complex Ginzburg–Landau equation in Kerr and cubic–quintic–septic nonlinearity. Results Phys., 33, 105077(2022).

    [26] 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).

    [27] A. Secer. Stochastic optical solitons with multiplicative white noise via Itô calculus. Optik, 268, 169831(2022).

    [28] 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).

    [29] A.-M. Wazwaz. Bright and dark optical solitons for (3 + 1)-dimensional Schrödinger equation with cubic–quintic–septic nonlinearities. Optik, 225, 165752(2021).

    [30] A.-M. Wazwaz. Bright and dark optical solitons of the (2 + 1)-dimensional perturbed nonlinear Schrödinger equation in nonlinear optical fibers. Optik, 251, 168334(2022).

    [31] E.M.E. Zayed, M. El-Horbaty, M.E.M. Alngar, M. El-Shater. Dispersive optical solitons for stochastic Fokas–Lenells equation with multiplicative white noise. Eng, 3, 523-540(2022).

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

    [33] Q. Zhou, Y. Sun, H. Triki, Y. Zhong, Z. Zeng, M. Mirzazadeh. Study on propagation properties of one-soliton in a multimode fiber with higher-order effects. Results Phys., 41, 105898(2022).

    [34] Q. Zhou, Z. Luan, Z. Zeng, Y. Zhong. Effective amplification of optical solitons in high power transmission systems. Nonlinear Dyn., 109, 3083-3089(2022).

    Tools

    Get Citation

    Copy Citation Text

    Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Yakup Yıldırım, Luminita Moraru, Catalina Iticescu, Simona Moldovanu, Abdulah A. Alghamdi. Optical solitons and conservation laws for the concatenation model with spatio-temporal dispersion (internet traffic regulation)[J]. Journal of the European Optical Society-Rapid Publications, 2023, 19(2): 2023031

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Research Articles

    Received: Apr. 23, 2023

    Accepted: May. 25, 2023

    Published Online: Dec. 23, 2023

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

    DOI:10.1051/jeos/2023031

    Topics