nach oben

Optical and Quantum Electronics

Erschienen in:

01.09.2022

Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method

verfasst von: Rahaf Alhami, Marwan Alquran

Erschienen in: Optical and Quantum Electronics | Ausgabe 9/2022

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, we present a modified version of the potential-KdV equation by adding a new stochastic term. The new stochastic potential-KdV describes the propagation of nonlinear optical solitons and photons and appears in the applications of electric-circuits and multi-component plasmas. By using the Cole-Hopf transformation and Hirota bilinear method, we derive novel multi-solitons, lumps, and breather wave-solutions to the proposed model. Also, we provide some graphical analysis to study the impact of the model’s coefficients on the propagation of the recovery solutions. Finally, all the reported solutions in this work are checked by direct substitution in the governing equation.

Vorheriger Artikel Experimental study on phase conjecture based on two-dimensional image and carrying three-dimensional image with mist in electro-holographic reconstruction

Nächster Artikel Highly sensitive nano-biosensor based on a binary photonic crystal for cancer cell detection

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

Akinyemi, L., Inc, M., Khater, M.M.A., Rezazadeh, H.: Dynamical behaviour of Chiral nonlinear Schrodinger equation. Opt. Quant. Electron. 54, 191 (2022)CrossRef

Akinyemi, L., Senol, M., Osman, M.S.: Analytical and approximate solutions of nonlinear Schrodinger equation with higher dimension in the anomalous dispersion regime. J. Ocean Eng. Sci. 7(2), 143–154 (2022)CrossRef

Ali, M., Alquran, M., Salman, O. Bani.: A variety of new periodic solutions to the damped \((2+1)\)-dimensional Schrodinger equation via the novel modified rational sine-cosine functions and the extended tanh-coth expansion methods. Results. Phys. 37, 105462 (2022)CrossRef

Alquran, M.: Solitons and periodic solutions to nonlinear partial differential equations by the sine-cosine method. Appl. Math. Inf. Sci. 6(1), 85–88 (2012)MathSciNetMATH

Alquran, M.: Optical bidirectional wave-solutions to new two-mode extension of the coupled KdV-Schrodinger equations. Opt. Quant. Electron. 53, 588 (2021)CrossRef

Alquran, M.: Physical properties for bidirectional wave solutions to a generalized fifth-order equation with third-order time-dispersion term. Results Phys. 28, 104577 (2021)CrossRef

Alquran, M.: New symmetric bidirectional progressive surface-wave solutions to a generalized fourth-order nonlinear partial differential equation involving second-order time-derivative. J. Ocean Eng. Sci. (2022). https://doi.org/10.1016/j.joes.2022.06.021CrossRef

Alquran, M., Al-Khaled, K.: The tanh and sine-cosine methods for higher order equations of Korteweg-de Vries type. Phys. Scr. 84, 025010 (2011)ADSCrossRef

Alquran, M., Alhami, R.: Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn-Allen equation. Results Phys. 34, 105257 (2022)CrossRef

Alquran, M., Alhami, R.: Dynamics and bidirectional lumps of the generalized Boussinesq equation with time-space dispersion term: Application of surface gravity waves. J. Ocean Eng. Sci. (2022). https://doi.org/10.1016/j.joes.2022.05.010CrossRef

Alquran, M., Alhami, R.: Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method. Nonlinear Dyn. (2022). https://doi.org/10.1007/s11071-022-07509-0CrossRef

Alquran, M., Ali, M., Jadallah, H.: New topological and non-topological unidirectional-wave solutions for the modified-mixed KdV equation and bidirectional-waves solutions for the Benjamin Ono equation using recent techniques. J. Ocean Eng. Sci. 7(2), 163–169 (2022)CrossRef

Alquran, M., Alqawaqneh, A.: New bidirectional wave solutions with different physical structures to the complex coupled Higgs model via recent ansatze methods: applications in plasma physics and nonlinear optics. Opt. Quant. Electron. 54, 301 (2022)CrossRef

Alquran, M., Sulaiman, T.A., Yusuf, A.: Kink-soliton, singular-kink-soliton and singular-periodic solutions for a new two-mode version of the Burger-Huxley model: applications in nerve fibers and liquid crystals. Opt. Quant. Electron. 53, 227 (2021)CrossRef

Arnous, A.H., Mirzazadeh, M., Akinyemi, L., Akbulut, A.: New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques. J. Ocean Eng. Sci. (2022). https://doi.org/10.1016/j.joes.2022.02.012CrossRef

Baskonus, H.M., Bulut, H., Sulaiman, T.A.: Investigation of various travelling wave solutions to the extended \((2+1)\)-dimensional quantum ZK equation. Eur. Phys. J. Plus 132, 482 (2017)CrossRef

Conte, R., Musette, M.: Link between solitary waves and projective Riccati equations. J. Phys. A: Math. Gen. 25(21), 5609 (1992)ADSMathSciNetCrossRef

El-Wakil, S.A., Abdou, M.A.: The extended mapping method and its applications for nonlinear evolution equations. Phys. Lett. A 358(4), 275–282 (2006)ADSMathSciNetCrossRef

Feng, Y., Bilige, S.: Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation. J. Geom. Phys. 169, 104322 (2021)MathSciNetCrossRef

He, J.H., Wu, X.H.: Exp-function method for nonlinear wave equations. Chaos, Solitons Fractals 30(3), 700–708 (2006)ADSMathSciNetCrossRef

Huang, W.: A polynomial expansion method and its application in the coupled Zakharov-Kuznetsov equations. Chaos, Solitons & Fractals 29(2), 365–371 (2006)ADSMathSciNetCrossRef

Inan, I.E., Inc, M., Rezazadeh, H., Akinyemi, L.: Optical solitons of \((3+1)\)-dimensional and coupled nonlinear Schrodinger equations. Opt. Quant. Electron. 54, 246 (2022)CrossRef

Jaradat, I., Alquran, M.: Construction of solitary two-wave solutions for a new two-mode version of the Zakharov-Kuznetsov equation. Mathematics 8(7), 1127 (2020)CrossRef

Jaradat, I., Alquran, M.: Geometric perspectives of the two-mode upgrade of a generalized Fisher-Burgers equation that governs the propagation of two simultaneously moving waves. J. Comput. Appl. Math. 404, 113908 (2022)MathSciNetCrossRef

Jaradat, I., Alquran, M., Ali, M., Sulaiman, T.A., Yusuf, A., Katatbeh, Q.: New mathematical model governing the propagation of two-wave modes moving in the same direction: classical and fractional potential KdV equation. Rom. Rep. Phys. 73(3), 118 (2021)

Kumar, S., Malik, S., Rezazadeh, H., Akinyemi, L.: The integrable Boussinesq equation and it’s breather, lump and soliton solutions. Nonlinear Dyn. 107, 2703–2716 (2022)CrossRef

Ma, W.X.: Bilinear equations, Bell polynomials and linear superposition principle. J. Phys: Conf. Ser. 411(1), 012021 (2013)

Ma, W.X.: Bilinear equations and resonant solutions characterized by Bell polynomials. Rep. Math. Phys. 72(1), 41–56 (2013)ADSMathSciNetCrossRef

Ma, W.X.: Lump solutions to the Kadomtsev-Petviashvili equation. Phys. Lett. A 379(36), 1975–1978 (2015)ADSMathSciNetCrossRef

Ma, W.X., Chen, M.: Direct search for exact solutions to the nonlinear Schrodinger equation. Appl. Math. Comput. 215(8), 2835–2842 (2009)MathSciNetMATH

Ma, W.X., Qin, Z.Y., Lu, X.: Lump solutions to dimensionally reduced p-gKP and p-gBKP equations. Nonlinear Dyn. 84, 923–931 (2016)MathSciNetCrossRef

Ma, W.X., Zhou, R., Gao, L.: Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in \((2+1)\) dimensions. Mod. Phys. Lett. A 24(21), 1677–1688 (2009)ADSMathSciNetCrossRef

Sulaiman, T.A.: Three-component coupled nonlinear Schrodinger equation: optical soliton and modulation instability analysis. Phys. Scr. 95(6), 065201 (2020)ADSCrossRef

Sulaiman, T.A., Yusuf, A., Alquran, M.: Dynamics of lump solutions to the variable coefficients \((2+1)\)-dimensional Burger’s and Chaffee-infante equations. J. Geom. Phys. 168, 104315 (2021)MathSciNetCrossRef

Sulaiman, T.A., Yusuf, A., Alrazi, A., Alquran, M.: Dynamics of lump collision phenomena to the \((3+1)\)-dimensional nonlinear evolution equation. J. Geom. Phys. 169, 104347 (2021)MathSciNetCrossRef

Sulaiman, T.A., Yusuf, A., Alrazi, A., Alquran, M.: Breather waves, analytical solutions and conservation laws using Lie-Backlund symmetries to the \((2+1)\)-dimensional Chaffee-Infante equation. J. Ocean Eng. Sci. (2021). https://doi.org/10.1016/j.joes.2021.12.008CrossRef

Wazwaz, A.M.: The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations. Appl. Math. Comput. 184(2), 1002–1014 (2007)MathSciNetMATH

Titel: Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method
verfasst von: Rahaf Alhami
Marwan Alquran
Publikationsdatum: 01.09.2022
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 9/2022
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-022-03984-2

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 9/2022

Towards high-efficiency tin-based perovskite solar cell by adding co-additives

Studying the structural, optical, electrical properties and magnetic properties of Fe3+-codoped Al3+/PVA flexible composite films

Miniaturization and performance enhancement of super wide band four element MIMO antenna using DNG metamaterial for THz applications

Silicon-based flat-topped wavelength filter for low crosstalk, high fabrication tolerance and wideband operating range for CWDM applications

Cyclic controlled remote state preparation protocol initiated by a mentor for qubits

Breather, kink and rogue wave solutions of Sharma-Tasso-Olver-like equation