nach oben

Optical and Quantum Electronics

Erschienen in:

01.04.2023

Various optical solutions for time-fractional Fokas system arises in monomode optical fibers

verfasst von: Muhammad Amin Sadiq Murad, Faraidun Kadir Hamasalh, Hajar Farhan Ismael

Erschienen in: Optical and Quantum Electronics | Ausgabe 4/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, the extended simplest equation technique is utilized to construct the novel exact optical soliton solutions of time fractional Fokas system with conformable fractional derivative. The acquired optical soliton solutions such as dark, bright, dark-bright, periodic, and singular solutions are constructed and expressed via the rational functions, the trigonometric functions, and the hyperbolic functions to elucidate the magnitude of the proposed equation. The dynamical behaviors of the square of modulus solutions, real and imaginary parts are depicted via two dimensional and three dimensional contours graphs using appropriate values of parameters. It is observed that the present method is an efficient and powerful tool for solving nonlinear differential equations of integer and fractional orders.

Vorheriger Artikel Soliton solutions of generalized Kundu-Eckhaus equation with an extra-dispersion via improved modified extended tanh-function technique

Nächster Artikel Independent measurement of refractive index and temperature using D-gapped dual-channel structure in a photonic crystal fiber

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Ahmed, H.M., El-Sheikh, M.M.A., Arnous, A.H., Rabie, W.B.: Construction of the soliton solutions for the Manakov system by extended simplest equation method. Int. J. Appl. Comput. Math. 7, 1–19 (2021)MathSciNetCrossRefMATH

Ali, K.K., Seadawy, A.R., Yokus, A., Yilmazer, R., Bulut, H.: Propagation of dispersive wave solutions for (3+ 1)-dimensional nonlinear modified Zakharov-Kuznetsov equation in plasma physics. Int. J. Mod. Phys. B 34, 2050227. https://doi.org/10.1142/S0217979220502276 (2020)ADSMathSciNetCrossRefMATH

Alrebdi, T., Raza, N., Arshed, S., Yousef, A., Abdel-Aty, A.: New solitary wave patterns of Fokas-System arising in monomode fiber communication system. Opt. Quantum Electron. 54, 1–19 (2022)CrossRef

Atangana, A., Baleanu, D., Alsaedi, A.: New properties of conformable derivative. Open Math. 13, 889–898 (2015)MathSciNetCrossRefMATH

Ataş, S. S., Ali, K. K., Sulaiman, T. A., Bulut, H.: Optical solitons to the Fokas system equation in monomode optical fbers. Optic Quantum Electron. 54:707, 1–13 (2022)

Attia, R.A.M., Baleanu, D., Lu, D., Khater, M.M.A., Ahmed, E.S.: Computational and numerical simulations for the deoxyribonucleic acid (DNA) model. Discret. Contin. Dyn. Syst. 14, 3459–3478 (2021)MathSciNetMATH

Bilige, S., Chaolu, T.: An extended simplest equation method and its application to several forms of the fifth-order KdV equation. Appl. Math. Comput. 216, 3146–3153 (2010)MathSciNetMATH

Bilige, S., Chaolu, T., Wang, X.: Application of the extended simplest equation method to the coupled Schrödinger-Boussinesq equation. Appl. Math. Comput. 224, 517–523 (2013)MathSciNetMATH

Biswas, A.: Optical soliton cooling with polynomial law of nonlinear refractive index. J. Opt. 49, 580–583 (2020)CrossRef

Chakravarty, S., Kent, S.L., Newman, E.T.: Some reductions of the self-dual Yang-Mills equations to integrable systems in 2+ 1 dimensions. J. Math. Phys. 36, 763–772 (1995)ADSMathSciNetCrossRefMATH

Chen, T.T., Hu, P.-Y., He, J.S.: General higher-order breather and hybrid solutions of the Fokas system. Commun. Theor. Phys. 71, 496–508 (2019)ADSMathSciNetCrossRefMATH

Fokas, A.S.: On the simplest integrable equation in 2+ 1. Inverse Probl. 10, L19–L22 (1994)ADSMathSciNetCrossRef

Ismael, H.F., Murad, M.A.S., Bulut, H.: Boiti-Leon-Manna-Pempinelli equation including time-dependent coefficient (vcBLMPE): a variety of nonautonomous geometrical structures of wave solutions. Nonlinear Dyn. 110, 3699–3712 (2022)

Ismael, H.F., Bulut, H.: Nonlinear dynamics of (2+ 1)-dimensional Bogoyavlenskii-Schieff equation arising in plasma physics. Math. Methods Appl. Sci. 44, 10321–10330 (2021)ADSMathSciNetCrossRefMATH

Ismael, H.F., Murad, M.A.S., Bulut, H.: M-lump waves and their interaction with multi-soliton solutions for a generalized Kadomtsev-Petviashvili equation in (3+ 1)-dimensions. Chin. J. Phys. 77, 1357–1364 (2022)MathSciNetCrossRef

Ismael, H.F., Murad, M.A.S., Bulut, H.: Various exact wave solutions for KdV equation with time-variable coefficients. J. Ocean Eng. Sci. 7, 409–418 (2022)CrossRef

Khalil, R., Al Horani, M., Yousef, A., Sababheh, M.: A new definition of fractional derivative. J. Comput. Appl. Math. 264, 65–70 (2014)MathSciNetCrossRefMATH

Murad, M. A. S., Hamasalh, F. K.: Computational technique for the modeling on MHD boundary layer flow unsteady stretching sheet by B-Spline function. In: 2022 International Conference on Computer Science and Software Engineering (CSASE) IEEE, pp. 236-240 (2022)

Murad, M.A.S.: Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients. Appl. Math. J. Chin. Univ. 37, 404–414 (2022)MathSciNetCrossRefMATH

Rao, J., Mihalache, D., Cheng, Y., He, J.: Lump-soliton solutions to the Fokas system. Phys. Lett. A 383, 1138–1142 (2019)ADSMathSciNetCrossRefMATH

Rao, J., He, J., Mihalache, D.: Doubly localized rogue waves on a background of dark solitons for the Fokas system. Appl. Math. Lett. 121, 107435. https://doi.org/10.1016/j.aml.2021.107435 (2021)MathSciNetCrossRefMATH

Rao, J., Mihalache, D., He, J.: Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system. Appl. Math. Lett. 134, 108362. https://doi.org/10.1016/j.aml.2022.108362 (2022)MathSciNetCrossRefMATH

Shulman, E.I.: On the integrability of equations of Davey-Stewartson type. Teor. i Mat. Fiz. 56, 131–136 (1983)MathSciNet

Tarla, S., Ali, K.K., Sun, T.-C., Yilmazer, R., Osman, M.S.: Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers. Results Phys. 36, 105381. https://doi.org/10.1016/j.rinp.2022.105381 (2022)CrossRef

Wang, K.J.: A new fractional nonlinear singular heat conduction model for the human head considering the effect of febrifuge. Eur. Phys. J. Plus 135, 1–7 (2020)ADSCrossRef

Wang, K.J.: Abundant exact soliton solutions to the Fokas system. Optik (Stuttg) 249, 168265. https://doi.org/10.1016/j.ijleo.2021.168265 (2022)ADSCrossRef

Wang, K.J.: Investigation to the local fractional Fokas system on Cantor set by a novel technology. FRACTALS (fractals) 30, 1–7 (2022)

Wang, K., Zou, B.: On new abundant solutions of the complex nonlinear Fokas-Lenells equation in optical fiber. Math. Methods Appl. Sci. 44, 13881–13893 (2021)ADSMathSciNetCrossRefMATH

Wang, K.J., Liu, J.H., Wu, J.: Soliton solutions to the Fokas system arising in monomode optical fibers. Optik (Stuttg) 251, 168319. https://doi.org/10.1016/j.ijleo.2021.168319 (2022)ADSCrossRef

Zayed, E.M.E., Shohib, R.M.A.: Optical solitons and other solutions to Biswas-Arshed equation using the extended simplest equation method. Optik (Stuttg). 185, 626–635 (2019)ADSCrossRef

Zayed, E.M.E., Shohib, R.M.A., Al-Nowehy, A.G.: Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method. Comput. Math. Appl. 76, 2286–2303 (2018)MathSciNetCrossRefMATH

Zayed, E.M.E., Shohib, R.M.A., Al-Nowehy, A.G.: On solving the (3+ 1)-dimensional NLEQZK equation and the (3+ 1)-dimensional NLmZK equation using the extended simplest equation method. Comput. Math. Appl. 78, 3390–3407 (2019)MathSciNetCrossRefMATH

Titel: Various optical solutions for time-fractional Fokas system arises in monomode optical fibers
verfasst von: Muhammad Amin Sadiq Murad
Faraidun Kadir Hamasalh
Hajar Farhan Ismael
Publikationsdatum: 01.04.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 4/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-04585-3

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 4/2023

Numerical simulation of electron-transport-layer-free CH3NH3Pb(I1−xBrx)3 perovskite solar cells

Extraction of new optical solitons in presence of fourth-order dispersion and cubic-quintic nonlinearity

Supercontinuum coherence characteristics using transparent tellurite photonic crystal fiber

Soliton solutions of generalized Kundu-Eckhaus equation with an extra-dispersion via improved modified extended tanh-function technique

Broadband terahertz polarization converter/absorber based on the phase transition properties of vanadium dioxide in a reconfigurable metamaterial

Investigation of external isotropic pressure effect on widening of bandgap, mechanical, thermodynamic, and optical properties of rubidium niobate using first-principles calculations for photocatalytic application