nach oben

Optical and Quantum Electronics

Erschienen in:

01.05.2023

A variety of optical soliton solutions for the M-truncated Paraxial wave equation using Sardar-subequation technique

verfasst von: Tayyiaba Rasool, Rashida Hussain, Mohammed A. Al Sharif, W. Mahmoud, M. S. Osman

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2023

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

To generate different optical soliton solutions of the Paraxial wave equation with fractional time dependence, a well-known Sardar-subequation technique is used. The M-truncated fractional derivative is used to get rid of the fractional order in the governing model equation. The sorts of wave solutions acquired have important applications in engineering and material science. Some particular values of the parameters have been selected in order to produce creative solitary wave solutions. The obtained wave solutions are displayed graphically using Maple.

Vorheriger Artikel Generation of multiple focal pattern via phase modulated radial and azimuthal variant vector beam

Nächster Artikel Numerical modelling of the effect of the Ag: ZnSe BSF layer on the high performance of ZnSe/CdTe thin film solar cells by SCAPS-1D software

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

Acay, B., Bas, E., Abdeljawad, T.: Non-local fractional calculus from different viewpoint generated by truncated M-derivative. J. Comput. Appl. Math. 366, 112410 (2019)MathSciNetMATH

Akbar, M.A., Abdullah, F.A., Islam, M.T., Al Sharif, M.A., Osman, M.S.: New solutions of the soliton type of shallow water waves and superconductivity models. Result Phys. 44, 106180 (2023)

Aljahdali, M., El-Sherif, A.A., Shoukry, M.M., Mohamed, S.E.: Potentiometric and thermodynamic studies of binary and ternary transition metal (II) complexes of imidazole-4-acetic acid and some bio-relevant ligands. J. Solut. Chem. 42, 1028–1050 (2013)

Arshad, M., Seadawy, A.R., Lu, D., Saleem, M.S.: Elliptic function solutions, modulation instability and optical solitons analysis of the paraxial wave dynamical model with Kerr media. Opt. Quant. Electron. 53, 7 (2021)

Aydogan, M.S., Baleanu, D., Mousalou, A., Rezapour, S.: On high order fractional integro-differential equations including the Caputo-Fabrizio derivative. Bound. Value Probl. 1, 90 (2018)MathSciNetMATH

Ayhan, B., Bekira, A.: (G’/G)-expansion method for the nonlinear lattice equations. Commun. Nonlinear Sci. Numer. Simul. 17(9), 3490–3498 (2012)ADSMathSciNetMATH

Baronio, F., Wabnitz, S., Kodama, Y.: Optical Kerr spatiotemporal dark-lump dynamics of hydrodynamic origin. Phys. Rev. Lett. 116, 173901 (2016)

Biswas, A., Yildirim, Y., Yaşar, E., Zhou, Q., Moshokoa, S.P., Belic, M.: Optical solitons for Lakshmanan Porsezian Daniel model by modified simple equation method. Optik 160, 24–32 (2018)ADS

Conti, C., Trillo, S., Di Trapani, P., Valiulis, G., Piskarskas, A., Jedrkiewicz, O., Trull, J.: Nonlinear electromagnetic X waves. Phys. Rev. Lett. 90, 342–361 (2003)

Diethelm, K.: Anal. Fract. Differ. Eq. Springer, Berlin (2010)

Eslami, M., Mirzazadeh, M.: Optical solitons with Biswas Milovic equation for power law and dual-power law nonlinearities. Nonlinear Dyn. 83, 731–738 (2016)MathSciNetMATH

Gao, W., Ismael, H.F., Mohammed, S.A., Baskonus, H.M., Bulut, H.: Complex and real optical soliton properties of the paraxial non-linear Schrödinger equation in Kerr media with M-fractional. Front. Phys. 7, 197 (2019)

Gorenflo, R., Mainardi, F.: On Mittag-Leffler-type functions in fractional evolution processes. J. Comp. Appl. Math. 118, 283–299 (2000)ADSMathSciNetMATH

Gunera, O., Aksoy, E., Bekir, A., Cevikel, A.C.: Different methods for (3+1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation. Comput. Math. Appl. 71(6), 1259–1269 (2016)MathSciNetMATH

Haque, M.M., Akbar, M.A., Osman, M.S.: Optical soliton solutions to the fractional nonlinear Fokas Lenells and paraxial Schrödinger equations. Opt. Quant. Electron. 54(11), 764 (2022)

Hosseini, K., Bejarbaneh, E.Y., Bekir, A., Kaplan, M.: New exact solutions of some nonlinear evolution equations of pseudo-parabolic type. Opt. Quant. Electron. 49, 241 (2017)

Hussain, R., Rasool, T., Ali, A.: Travelling Wave Solutions of Coupled Burger’s Equations of Time-Space Fractional Order by Novel \((G^{\prime }/G)\)-Expansion Method. ASTES 2, 8–13 (2017)

Jeragh, B., Al-Wahaib, D., El-Sherif, A.A., El-Dissouky, A.: Potentiometric and thermodynamic studies of dissociation and metal complexation of 4-(3-hydroxypyridin-2-ylimino)-4-phenylbutan-2-one. J. Chem. Eng. Data 52(5), 1609–1614 (2007)

Jumarie, G.: Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results. Comput. Math. Appl. 51(9–10), 1367–1376 (2006)MathSciNetMATH

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

Miller, K.S., Ross, B.: An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, NY (1993)MATH

Mirzazadeh, M., Yildirim, Y., Yaşar, E., Triki, H., Zhou, Q., Moshokoa, S.P., Ullah, M.Z., Seadawy, A.R., Biswas, A., Belic, M.: Optical solitons and conservation law of Kundu Eckhaus equation. Optik 154, 551–557 (2018)ADS

Nisar, K.S., Ilhan, O.A., Abdulazeez, S.T., Manafian, J., Mohammed, S.A., Osman, M.S.: Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method. Result Phys. 21, 103769 (2021)

Oldham, K.B., Spanier, J.: The Fractional Calculus. Academic Press, San Diego (1974)MATH

Osman, M.S., Korkmaz, A., Rezazadeh, H., Mirzazadeh, M., Eslami, M., Zhou, Q.: The unified method for conformable time fractional Schrödinger equation with perturbation terms. Chin. J. Phys. 56, 2500–2506 (2018)

Osman, M.S., Tariq, K.U., Bekir, A., Elmoasry, A., Elazab, N.S., Younis, M., Abdel-Aty, M.: Investigation of soliton solutions with different wave structures to the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation. Commun. Theor. Phys. 72(3), 035002 (2020)ADSMathSciNetMATH

Park, C., Nuruddeen, R.I., Ali, K.K., Muhammad, L., Osman, M.S., Baleanu, D.: Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg de Vries equations. Adv. Differ. Equ. 2020(1), 627 (2020)MathSciNetMATH

Podlubny, I.: Fract. Differ. Eq. Academic Press, San Diego (1999)

Rezazadeh, H., Inc, M., Baleanu, D.: New solitary wave solutions for variants of (3+1)-dimensional Wazwaz-Benjamin-Bona-Mahony equations. Front. Phys. 8, 332 (2020)

Rezazadeh, H., Korkmaz, A., Eslami, M., Vahidi, J., Asghari, R.: Traveling wave solution of conformable fractional generalized reaction Duffing model by generalized projective Riccati equation method. Opt. Quant. Electr. 50, 150 (2018)

Savaissou, N., Rezazadeh, H., Bekir, A., Doka, S.Y., Gambol, B.: Exact optical solitons to the perturbed nonlinear Schrodinger equation with dual power law of nonlinearity. Opt. Quant. Electr. 52, 318 (2020)

Sousa, J.V.D.C., De Oliveira, E.C.: A new truncated M-fractional derivative unifying some fractional derivatives with classical properties. Int. J. Anal. Appl. 35, 1–17 (2017)

Sousa, J.V.D.C., De Oliveira, E.C.: A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties. Int. J. Anal. Appl. 16, 83–96 (2018)MATH

Sousa, JVDC., De Oliveira, EC.: M-fractional derivative with classical properties. arXiv preprint arXiv:1704.08186 (2017)

Tariq, K.U., Younis, M., Rizvi, S.T.R.: Optical solitons in monomode fibers with higher order nonlinear Schrödinger equation. Optik 154, 360–371 (2018)ADS

Yao, S.W., Rasool, T., Hussain, R., Rezazadeh, H., Inc, M.: Exact soliton solutions of conformable fractional coupled Burger’s equation using hyperbolic funtion approach. Result Phys. 30, 104776 (2021)

Yaşar, E., Yildirim, Y., Khalique, C.M.: Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada Kotera Ito equation. Result phys. 6, 322–328 (2016)ADS

Yaşar, E., Yildirim, Y., Yaşar, E.: New optical solitons of space-time conformable fractional perturbed Gerdjikov-Ivanov equation by sine-Gordon equation method. Result Phys. 9, 1666–1672 (2018)ADS

Yiasir Arafat, S.M., Fatema, K., Rayhanul Islam, S.M., Islam, M.E., Ali Akbar, M., Osman, M.S.: The mathematical and wave profile analysis of the Maccari system in nonlinear physical phenomena. Opt. Quant. Electron. 55(2), 136 (2023)

Younas, U., Ren, J.: Investigation of exact soliton solutions in magneto-optic waveguides and its stability analysis. Result Phys. 21, 103816 (2021)

Younas, U., Ren, J.: On the study of optical soliton molecules of Manakov model and stability analysis. Int. J. Mod. Phys. B 36(26), 2250180 (2022)ADS

Younas, U., Ren, J., Sulaiman, T.A., Bilal, M., Yusuf, A.: On the lump solutions, breather waves, two-wave solutions of (2+ 1)-dimensional Pavlov equation and stability analysis. Mod. Phys. Lett. B 36(14), 2250084 (2022)ADSMathSciNet

Younas, U., Sulaiman, T.A., Ren, J.: Dynamics of optical pulses in dual-core optical fibers modelled by decoupled nonlinear Schrodinger equation via GERF and NEDA techniques. Opt. Quant. Electron. 54(11), 738 (2022)

Younas, U., Sulaiman, T.A., Ren, J.: On the optical soliton structures in the magneto electro-elastic circular rod modeled by nonlinear dynamical longitudinal wave equation. Opt. Quant. Electron. 54(11), 688 (2022)

Younas, U., Sulaiman, T.A., Ren, J.: Propagation of M-truncated optical pulses in nonlinear optics. Opt. Quant. Electron. 55(2), 102 (2023)

Younas, U., Sulaiman, T.A., Ren, J.: On the study of optical soliton solutions to the three-component coupled nonlinear Schrödinger equation: applications in fiber optics. Opt. Quant. Electron. 55(1), 72 (2023)

Younas, U., Sulaiman, T.A., Ren, J., Yusuf, A.: Lump interaction phenomena to the nonlinear ill-posed Boussinesq dynamical wave equation. J. Geom. Phys. 178, 104586 (2022)MathSciNetMATH

Younas, B., Younis, M., Ahmed, M.O., Rizvi, S.T.R.: Exact optical solitons in (n + 1)- dimensions under anti-cubic law of nonlinearity. Optik 156, 479–486 (2018)ADS

Yusuf, A., Inc, M., Baleau, D.: Optical solitons possessing beta derivative of the Chen-Lee-Liu equation in optical fibers. Front. Phys. 7, 34 (2019)

Özkan, Y.S., Yaşar, E., Çelik, N.: On the exact and numerical solutions to a new (2+ 1)-dimensional Korteweg-de Vries equation with conformable derivative. Nonlinear Eng. 10(1), 46–65 (2021)ADS

Titel: A variety of optical soliton solutions for the M-truncated Paraxial wave equation using Sardar-subequation technique
verfasst von: Tayyiaba Rasool
Rashida Hussain
Mohammed A. Al Sharif
W. Mahmoud
M. S. Osman
Publikationsdatum: 01.05.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 5/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-04655-6

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 5/2023

A performance comparison of heterostructure surface plasmon resonance biosensor for the diagnosis of novel coronavirus SARS-CoV-2

Quantum Fisher information for two-qubit XY spin-chain: individual characterization of different parameters

Bismuth telluride, graphene, and silver based surface plasmon resonance biosensor for dental application

Optical cubic nonlinearity of thin two-layer AuNP–Al2O3 and three-layer AuNP–Al2O3–PdO systems under nanosecond 1064 nm and 532 nm excitation

Synthesis, crystal structures, and DFT calculations: novel Mn(II), Co(II) and Ni(II) complexes of N-(pyridin-2-ylmethylene)methanamine with isothiocyanate as promising optical materials

Design and analysis of high-sensitivity tunable graphene sensors for cancer detection