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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 10/2023

01.10.2023

Novel optical solitons for the Ablowitz–Ladik lattice equation with conformable derivatives in the optical fibers

verfasst von: Yasin Asghari, Mostafa Eslami, Hadi Rezazadeh

Erschienen in: Optical and Quantum Electronics | Ausgabe 10/2023

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Abstract

The principal purpose of this research is to utilize the exp-function approach for achieving exact solutions of nonlinear optical fibers, including fractional order in the sense of conformable derivatives. Owing to the algorithm of symbolic computational, Some soliton solutions are obtained, including solitary soliton, singular kink-type soliton, and periodic solitons. These results are generated and developed by using the exp-function. To the greatest of our knowledge, the soliton solutions given in this study could be highly beneficial in comprehending physical phenomena.
Vorheriger Artikel Impact of optical device parameters on the performance characteristics of temperature dependent quantum cascade lasers
Nächster Artikel Innovative solutions and sensitivity analysis of a fractional complex Ginzburg–Landau equation

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Literatur
Abdeljawad, T.: On conformable fractional calculus. J. Comput. Appl. Math. 279, 57–66 (2015)MathSciNetMATH
Adem, A.R., Ntsime, B.P., Biswas, A., Khan, S., Alzahrani, A.K., Belic, M.R.: Stationary optical solitons with nonlinear chromatic dispersion for Lakshmanan–Porsezian–Daniel model having Kerr law of nonlinear refractive index. Ukr. J. Phys. Opt. 22(2), 83–86 (2021)
Aderyani, S.R., Saadati, R., Vahidi, J., Allahviranloo, T.: The exact solutions of the conformable time-fractional modified nonlinear Schrödinger equation by the trial equation method and modified trial equation method. Adv. Math. Phys. 2022 (2022)
Akbulut, A., Kaplan, M.: Auxiliary equation method for time-fractional differential equations with conformable derivative. Comput. Math. Appl. 75(3), 876–882 (2018)MathSciNetMATH
Akram, G., Mahak, N.: Application of the first integral method for solving (1+1) dimensional cubic-quintic complex Ginzburg-Landau equation. Optik (Stuttg) 164, 210–217 (2018)ADS
Al Qarni, A., Bodaqah, A., Mohammed, A., Alshaery, A., Bakodah, H., Biswas, A.: Dark and singular cubic-quartic optical solitons with Lakshmanan-Porsezian-Daniel equation by the improved Adomian decomposition scheme. Ukr. J. Phys. Opt. 24(1) (2023)
Al Qarni, A.A., Bodaqah, A.M., Mohammed, A.S.H.F., Alshaery, A.A., Bakodah, H.O., Biswas, A.: Cubic-quartic optical solitons for Lakshmanan–Porsezian–Daniel equation by the improved Adomian decomposition scheme. Ukr. J. Phys. Opt. 23(4), 228–242 (2022)
Al-Kalbani, K.K., Al-Ghafri, K.S., Krishnan, E.V., Biswas, A.: Pure-cubic optical solitons by Jacobi’s elliptic function approach. Optik (Stuttg) 243, 167404 (2021)ADS
Al-Raeei, M., El-Daher, M.S.: On: new optical soliton solutions for nonlinear complex fractional Schrödinger equation via new auxiliary equation method and novel (\(G^{\prime } / G\))-expansion method. Pramana 94(1), 9 (2020)ADS
Aphane, M., Moshokoa, S.P., Alshehri, H.M.: Quiescent optical solitons with Kudryashovs generalized quintuple-power and nonlocal nonlinearity having nonlinear chromatic dispersion: generalized temporal evolution. Ukr. J. Phys. Opt. 24(2), 105–113 (2023)
Asghari, Y., Eslami, M., Rezazadeh, H.: Soliton solutions for the time-fractional nonlinear differential-difference equation with conformable derivatives in the ferroelectric materials. Opt. Quant. Electron. 55(4), 289 (2023)
Asghari, Y., Eslami, M., Rezazadeh, H.: Exact solutions to the conformable time-fractional discretized MKDV lattice system using the fractional transformation method. Opt. Quant. Electron. 55(4), 318 (2023)
Asjad, M.I., Inc, M., Faridi, W.A., Bakar, M.A., Muhammad, T., Rezazadeh, H.: Optical solitonic structures with singular and non-singular kernel for nonlinear fractional model in quantum mechanics. Opt. Quant. Electron. 55(3), 1–20 (2023)
Biswas, M., Milovic, A., Edwards, D.: Mathematical Theory of Dispersion-Managed Optical Solitons. Springer (2010)MATH
Biswas, A., Yildirim, Y., Yasar, E., Zhou, Q., Moshokoa, S.P., Belic, M.: Chiral solitons with Bohm potential by modified simple equation method and trial equation scheme. Acta Phys. Pol. A 134(6), 1120–1125 (2018)ADS
Biswas, A., Dakova, A., Khan, S., Ekici, M., Moraru, L., Belic, M.R.: Cubic-quartic optical soliton perturbation with Fokas–Lenells equation by semi-inverse variation. Semicond. Phys. Quantum Electron. Optoelectron. 8, 460 (2021)
Biswas, A., Edoki, J., Guggilla, P., Khan, S., Alzahrani, A.K., Belic, M.R.: Cubic-quartic optical soliton perturbation with Lakshmanan–Porsezian–Daniel model by semi-inverse variational principle. Ukr. J. Phys. Opt. 22(3), 228–242 (2021)
Chen, B., Hu, J., Zhao, Y., Ghosh, B.K.: Finite-time observer based tracking control of uncertain heterogeneous underwater vehicles using adaptive sliding mode approach. Neurocomputing 481, 322–332 (2022)
Darmani, G., Setayeshi, S., Ramezanpour, H.: Toward analytic solution of nonlinear differential difference equations via extended sensitivity approach. Commun. Theor. Phys. 57(1), 5–9 (2012)ADSMathSciNetMATH
Dutta, H., Günerhan, H., Ali, K.K., Yilmazer, R.: Exact soliton solutions to the cubic-quartic non-linear Schrödinger equation with conformable derivative. Front. Phys. 8, 62 (2020)
Fu, Q., Si, L., Liu, J., Shi, H., Li, Y.: Design and experimental study of a polarization imaging optical system for oil spills on sea surfaces. Appl. Opt. 61(21), 6330–6338 (2022)ADS
Fu, Q., Luo, K., Song, Y., Zhang, M., Zhang, S., Zhan, J., Duan, J., Li, Y.: Study of sea fog environment polarization transmission characteristics. Appl. Sci. 12(17), 8892 (2022)
González-Gaxiola, O., Biswas, A., Yildirim, Y., Alshehri, H.M.: Bright optical solitons with polynomial law of nonlinear refractive index by Adomian decomposition scheme. Proc. Est. Acad. Sci. 71(3), 213–220 (2022)MathSciNetMATH
González-Gaxiola, O., Biswas, A., Yildirim, Y., Alshehri, H.M.: Highly dispersive optical solitons in birefringent fibres with non local form of nonlinear refractive index: Laplace-Adomian decomposition. Ukr. J. Phys. Opt. 23(2), 68–76 (2022)
Gou, G., Zhang, Z., Fan, T., Fang, L., Liu, M., Li, L.: Synthesis, optical properties and self-organization of blue-emitting butterfly-shaped dithienobenzosiloles. Chin. Chem. Lett. 33(9), 4306–4312 (2022)
Hosseini, K., Bekir, A., Ansari, R.: New exact solutions of the conformable time-fractional Cahn–Allen and Cahn–Hilliard equations using the modified Kudryashov method. Optik (Stuttg) 132, 203–209 (2017)ADS
Houwe, A., Inc, M., Doka, S.Y., Acay, B., Hoan, L.V.: The discrete tanh method for solving the nonlinear differential-difference equations. Int. J. Mod. Phys. B 34(19), 2050177 (2020)ADSMathSciNetMATH
Huang, S.J., Yang, N.J.: Auto-Backlund transform and exact solutions to local conformable time-fractional viscous Burgers system. Eur. Lett. 125(1), 15003 (2019)ADS
Ilie, M., Biazar, J., Ayati, Z.: Analytical study of exact traveling wave solutions for time-fractional nonlinear Schrödinger equations. Opt. Quantum Electron. 50(12), 01–13 (2018)
Ilie, M., Biazar, J., Ayati, Z.: Resonant solitons to the nonlinear Schrödinger equation with different forms of nonlinearities. Optik (Stuttg) 164, 201–209 (2018)ADS
Ismael, H.F., Bulut, H., Baskonus, H.M.: Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and (m+ (\(G^{\prime } / G\))) -expansion method. Pramana J. Phys. 94(1), 1–9 (2020)
Kaplan, M.: Applications of two reliable methods for solving a nonlinear conformable time-fractional equation. Opt. Quantum Electron. 49(9), 312 (2017)
Khalil, R., Al Horani, M., Yousef, A., Sababheh, M.: A new definition of fractional derivative. J. Comput. Appl. Math. 264, 65–70 (2014)MathSciNetMATH
Khalil, T.A., Badra, N., Ahmed, H.M., Rabie, W.B.: Optical solitons and other solutions for coupled system of nonlinear Biswas–Milovic equation with Kudryashovs law of refractive index by Jacobi elliptic function expansion method. Optik (Stuttg) 253, 168540 (2022)ADS
Kong, L., Liu, G.: Synchrotron-based infrared microspectroscopy under high pressure: an introduction. Matter Radiat. Extrem. 6(6), 068202 (2021)
Korkmaz, A.: Exact solutions to (3+1) conformable time fractional Jimbo–Miwa, Zakharov–Kuznetsov and modified Zakharov–Kuznetsov equations. Commun. Theor. Phys. 67(5), 479–482 (2017)ADSMathSciNetMATH
Korkmaz, A., Hepson, O.E., Hosseini, K., Rezazadeh, H., Eslami, M.: Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-class. J. King Saud Univ. Sci. 32(1), 567–574 (2020)
Kuo, C.K.: New solitary solutions of the Gardner equation and Whitham–Broer–Kaup equations by the modified simplest equation method. Optik (Stuttg) 147, 128–135 (2017)ADS
Li, Z., Han, T.: Bifurcation and exact solutions for the (2 + 1)-dimensional conformable time-fractional Zoomeron equation. Adv. Differ. Equ. 1, 2020 (2020)MathSciNetMATH
Li, X., Wang, L., Zhou, Z., Chen, Y., Yan, Z.: Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials. Nonlinear Dyn. 108(4), 4045–4056 (2022)
Li, X., Dong, Z.-Q., Wang, L.-P., Niu, X.-D., Yamaguchi, H., Li, D.-C., Yu, P.: A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows. Appl. Math. Model. 117, 219–250 (2023)MathSciNetMATH
Liu, J.-G., Zhang, Y.-F., Wang, J.-J.: Investigation of the time fractional generalized (2+1)-dimensional Zakharov–Kuznetsov equation with single-power law nonlinearity. Fractals (2023)
Liu, J.G., Yang, X.J., Geng, L.L., Yu, X.J.: On fractional symmetry group scheme to the higher-dimensional space and time fractional dissipative Burgers equation. Int. J. Geom. Methods Mod. Phys. 19(11), 2250173 (2022)MathSciNet
Piao, X., Kim, P.: Comment on: “the modified extended tanh-function method for solving Burgers-type equations’’ [Physica A 361,: 394–404]. Phys. A Stat. Mech. Appl. 569, 2021 (2006)
Rezazadeh, H., Batool, F., Inc, M., Akinyemi, L., Hashemi, M.S.: Exact traveling wave solutions of generalized fractional tzitz eica-type nonlinear evolution equations in nonlinear optics. Opt. Quant. Electron. 55(6), 485 (2023)
Sajid,N., Akram,G.: The application of the exp(-\(\Phi \)())-expansion method for finding the exact solutions of two integrable equations. Math. Probl. Eng. 2018 (2018)
Sheng, H., Cong, R., Yang, D., Chen, R., Wang, S., Cui, Z.: Urbanlf: a comprehensive light field dataset for semantic segmentation of urban scenes. IEEE Trans. Circuits Syst. Video Technol. 32(11), 7880–7893 (2022)
Sirisubtawee, S., Koonprasert, S., Sungnul, S., Leekparn, T.: Exact traveling wave solutions of the space-time fractional complex Ginzburg-Landau equation and the space-time fractional Phi-4 equation using reliable methods. Adv. Differ. Equ. 1, 2019 (2019)MathSciNetMATH
Souleymanou, A., Houwe, A., Kara, A., Rezazadeh, H., Akinyemi, L., Mukam, S.P., Doka, S.Y., Bouetou, T.B.: Explicit exact solutions and conservation laws in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity. Opt. Quant. Electron. 55(5), 464 (2023)
Spohn, H.: Hydrodynamic equations for the Ablowitz–Ladik discretization of the nonlinear Schrödinger equation. J. Math. Phys. 63(3), 033305 (2022)ADSMATH
Tariq, K.U., Zainab, H., Seadawy, A.R., Younis, M., Rizvi, S.T.R., Mousa, A.A.A.: On some novel optical wave solutions to the paraxial M-fractional nonlinear Schrödinger dynamical equation. Opt. Quantum Electron. 53(5), 1–14 (2021)
Tian, Y., Liu, J.: A modified exp-function method for fractional partial differential equations. Therm. Sci. 25(2), 1237–1241 (2021)
Wang, Z., Hao, A., Xing, P.: Helical secondary structures and supramolecular tilted chirality in n-terminal aryl amino acids with diversified optical activities. Chin. Chem. Lett. 32(4), 1390–1396 (2021)
Wang, S., Sheng, H., Yang, D., Zhang, Y., Wu, Y., Wang, S.: Extendable multiple nodes recurrent tracking framework with rtu++. IEEE Trans. Image Process. 31, 5257–5271 (2022)ADS
Yildirim, Y., Biswas, A., Kara, A.H., Ekici, M., Khan, S., Belic, M.R.: Optical soliton perturbation and conservation law with kudryashov’s refractive index having quadrupled power-law and dual form of generalized nonlocal nonlinearity. Semicond. Phys. Quantum Electron. Optoelectron. 24(1), 64–70 (2021)
Yildirim, Y., Biswas, A., Khan, S., Belic, M.R.: Embedded solitons with \(\chi \) (2) and \(\chi \) (3) nonlinear susceptibilities. Semicond. Phys. Quantum Electron. Optoelectron. 24(2), 160–165 (2021)
Yıldırım, M.R., Biswas, Y., Guggilla, A., Khan, P., Alshehri, S., Belic, H.M.: Optical solitons in fibre Bragg gratings with third-and fourth-order dispersive reflectivities. Ukr. J. Phys. Opt. 22(4), 239–254 (2021)
Yildrim, Y., Biswas, A., Dakova, A., Guggilla, P., Khan, S., Alshehri, H.M., Belic, M.R.: Cubic-quartic optical solitons having quadratic-cubic nonlinearity by sine-Gordon equation approach. Ukr. J. Phys. Opt. 22(4), 255–269 (2021)
Younas, U., Younis, M., Seadawy, A.R., Rizvi, S.T., Althobaiti, S., Sayed, S.: Diverse exact solutions for modified nonlinear Schrödinger equation with conformable fractional derivative. Results Phys. 20, 103766 (2021)
Zafar, A., Shakeel, M., Ali, A., Akinyemi, L., Rezazadeh, H.: Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes. Opt. Quant. Electron. 54, 1–15 (2022)
Zayed,E. M., Alngar,M. E., Biswas,A., Ekici,M., Khan,S., Alzahrani,A. K., Belic,M. R.: Optical solitons in fiber Bragg gratings with quadratic-cubic law of nonlinear refractive index and cubic-quartic dispersive reflectivity. Proc. Est. Acad. Sci. 71(2) (2022)
Zayed, E.M., Shohib, R., Alngar, M.E., Biswas, A., Yıldırım, Y., Dakova, A., Belic, M.R.: Optical solitons in the Sasa-Satsuma model with multiplicative noise via Itô calculus. Ukr. J. Phys. Opt. 23(1), 9–14 (2022)
Zayed, E.M., Shohib, R.M., Alngar, M.E. Biswas, A., Ekici, M., Khan, S., Alzahrani, A.K., Belic, M.R.: Optical solitons and conservation laws associated with Kudryashov’s sextic power-law nonlinearity of refractive index. Ukr. J. Phys. Opt. 22(1) (2021)
Zayed, E.M., Al-Nowehy, A.G.: New extended auxiliary equation method for finding many new Jacobi elliptic function solutions of three nonlinear Schrödinger equations. Waves Random Complex Med. 27(3), 420–439 (2017)ADSMATH
Zayed, E.M., Shohib, R.M.: Optical solitons and other solutions to Biswas–Arshed equation using the extended simplest equation method. Optik (Stuttg) 185, 626–635 (2019)ADS
Zhang, L., Zhang, J., Wang, X., Tao, M., Dai, G., Wu, J., Miao, Z., Han, S., Yu, H., Lin, X.: Design of coherent wideband radiation process in a nd3+-doped high entropy glass system. Light Sci. Appl. 11(1), 181 (2022)ADS
Zhang, S., Zhou, Y.Y., Cai, B.: Kink-type solutions of the MKdV lattice equation with an arbitrary function. Adv. Mater. Res. 989–994, 1716–1719 (2014)
Zhao, C., Cheung, C.F., Xu, P.: High-efficiency sub-microscale uncertainty measurement method using pattern recognition. ISA Trans. 101, 503–514 (2020)
Zhao, Q., Liu, J., Yang, H., Liu, H., Zeng, G., Huang, B., Jia, J.: Double u-groove temperature and refractive index photonic crystal fiber sensor based on surface plasmon resonance. Appl. Opt. 61(24), 7225–7230 (2022)ADS
Zhao, Q., Liu, J., Yang, H., Liu, H., Zeng, G., Huang, B.: High birefringence d-shaped germanium-doped photonic crystal fiber sensor. Micromachines 13(6), 826 (2022)
Zulfiqar, A., Ahmad, J.: Soliton solutions of fractional modified unstable Schrödinger equation using exp-function method. Results Phys. 19, 103476 (2020)
Metadaten
Titel
Novel optical solitons for the Ablowitz–Ladik lattice equation with conformable derivatives in the optical fibers
verfasst von
Yasin Asghari
Mostafa Eslami
Hadi Rezazadeh
Publikationsdatum
01.10.2023
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 10/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-04953-z

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