Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 5/2024

01.05.2024

Soliton dynamics and travelling wave solutions for high-order nonlinear Schrödinger equation in birefringent fibers using improved modified extended tanh function method

verfasst von: Eman H. M. Abdullah, Afaf A. S. Zaghrout, Hamdy M. Ahmed, Amal Ibrahim Ahmed Bahnasy, Wafaa B. Rabie

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

Einloggen

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

search-config
loading …

Abstract

One of the natural consequences of soliton propagation is a birefringence phenomenon occurring due to bending, twisting or rough handling of fibres, which produce a bit of detrimental effect. In this research, we find optical soliton solutions and other exact solutions for the high-order coupled nonlinear Schrödinger system which describe the transmission of solitons in birefringent fibers. The study is conducted with the aid of the improved modified extended tanh function method. A variety of distinct traveling wave solutions are furnished. The obtained solutions include dark solitons, bright solitons, and singular solitons. Additionally, hyperbolic solutions, periodic solutions, singular periodic solutions, rational solutions, exponential solutions, Jacobi elliptic function solutions and Weierstrass elliptic doubly periodic type solutions are also offered. To help readers physically grasp the acquired solutions, graphical representations of some of the extracted solutions are provided.
Vorheriger Artikel Optimizing space curve motion in Kuralay model through diverse soliton approaches
Nächster Artikel Propagation properties of general model vortex higher-order Cosh-Gaussian laser beam through uniaxial crystal orthogonal to the optical axis

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
Literatur
Ahmed, H.M., Rabie, W.B., Arnous, A.H., Wazwaz, A.-M.: Optical solitons in birefringent fibers of Kaup-Newell’s equation with extended simplest equation method. Phys. Scr. 95(11), 1–18 (2020)
Ahmed, S.A., Qazza, A., Saadeh, R.: Exact solutions of nonlinear partial differential equations via the new double integral transform combined with iterative method. Axioms 11(6), 1–16 (2022a).
Ahmed, M.S., Zaghrout, A.A.S., Ahmed, H.M.: Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method. Alex. Eng. J. 61(10), 7987–7994 (2022b)
Ali, K.K., Yilmazer, R., Bulut, H., Aktürk, T., Osman, M.S.: Abundant exact solutions to the strain wave equation in micro-structured solids. Mod. Phys. Lett. B 35(26), 2150439 (2021)ADSMathSciNet
Ali, M.H., El-Owaidy, H.M., Ahmed, H.M., El-Deeb, A.A., Samir, I.: Optical solitons and complexitons for generalized Schrödinger-Hirota model by the modified extended direct algebraic method. Opt. Quantum Electron. 55(8), 675 (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. Quantum Electron. 55(4), 289 (2023)
Asjad, M.I., Ullah, N., Rehman, H., Baleanu, D.: Optical solitons for conformable space-time fractional nonlinear model. J. Math. Comput. Sci. 27(1), 28 (2022)
Boulaaras, S.M., Rehman, H.U., Iqbal, I., Sallah, M., Qayyum, A.: Unveiling optical solitons: solving two forms of nonlinear Schrödinger equations with unified solver method. Optik 295, 171535 (2023)ADS
Chen, J., Luan, Z., Zhou, Q., Alzahrani, A.K., Biswas, A., Liu, W.: Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers. Nonlinear Dyn. 100, 2817–2821 (2020)
Chou, D., Ur Rehman, H., Amer, A., Amer, A.: New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation method. Opt. Quantum Electron. 55(13), 1148 (2023)
Das, A., Karmakar, B., Biswas, A., Yıldırım, Y., Alghamdi, A.A.: Chirped periodic waves and solitary waves for a generalized derivative resonant nonlinear Schrödinger equation with cubic–quintic nonlinearity. Nonlinear Dyn. 1–25 (2023)
Eldidamony, H.A., Ahmed, H.M., Zaghrout, A.S., Ali, Y.S., Arnous, A.H.: Structures solitons in birefringent fibers with Kerr and non-local laws of refractive index using improved modified extended tanh-function method. Res. Phys. 38, 105641 (2022)
Eslami, M., Rezazadeh, H.: The first integral method for Wu-Zhang system with conformable time-fractional derivative. Calcolo 53, 475–485 (2016)MathSciNet
Eslami, M., Neyrame, A., Ebrahimi, M.: Explicit solutions of nonlinear (2+1)-dimensional dispersive long wave equation. J. King Saud Univ. Sci. 24(1), 69–71 (2012)
Fahad, A., Boulaaras, S.M., Rehman, H.U., Iqbal, I., Saleem, M.S., Chou, D.: Analysing soliton dynamics and a comparative study of fractional derivatives in the nonlinear fractional Kudryashov’s equation. Res. Phys. 55, 107114 (2023)
Ghanbari, B.: Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative. Math. Methods Appl. Sci. 44(11), 8759–8774 (2021)ADSMathSciNet
Ghanbari, B., Baleanu, D.: A novel technique to construct exact solutions for nonlinear partial differential equations. Eur. Phys. J. Plus 134(10), 506 (2019)
Ghayad, M.S., Badra, N.M., Ahmed, H.M., Rabie, W.B.: Derivation of optical solitons and other solutions for nonlinear Schrödinger equation using modified extended direct algebraic method. Alex. Eng. J. 64, 801–811 (2023)
Khan, K., Akbar, M.A.: Traveling wave solutions of the (2+ 1)-dimensional Zoomeron equation and the Burgers equations via the MSE method and the Exp-function method. Ain Shams Eng. J. 5(1), 247–256 (2014)
Kirci, Ö., Aktürk, T., Bulut, H.: Simulation of wave solutions of a mathematical model representing communication signals. J. Inst. Sci. Technol. 11(4), 3086–3097 (2021)
Kudryashov, N.A.: The Painlevé approach for finding solitary wave solutions of nonlinear nonintegrable differential equations. Optik 183, 642–649 (2019)ADS
Kudryashov, N.A.: Almost general solution of the reduced higher-order nonlinear Schrödinger equation. Optik 230, 166347 (2021)
Neirameh, A., Eslami, M.: New optical soliton of stochastic chiral nonlinear Schrödinger equation. Optical Quantum Electron. 55, 444 (2023)
Nisar, K.S., Ali, K.K., Inc, M., Mehanna, M.S., Rezazadeh, H., Akinyemi, L.: New solutions for the generalized resonant nonlinear Schrödinger equation. Res. Phys. 33, 105153 (2022)
Rabie, W.B., Seadawy, A.R., Ahmed, H.M.: Highly dispersive Optical solitons to the generalized third-order nonlinear Schrödinger dynamical equation with applications. Optik 241, 167109 (2021)
Rabie, W.B., Ahmed, H.M., Mirzazadeh, M., Akbulut, A., Hashemi, M.S.: Investigation of solitons and conservation laws in an inhomogeneous optical fiber through a generalized derivative nonlinear Schrödinger equation with quintic nonlinearity. Opt. Quantum Electron. 55(9), 825 (2023)
Rehman, H.U., Seadawy, A.R., Younis, M., Yasin, S., Raza, S.T., Althobaiti, S.: Monochromatic optical beam propagation of paraxial dynamical model in Kerr media. Res. Phys. 31, 105015 (2021)
Rehman, H.U., Awan, A.U., Abro, K.A., El Din, E.M.T., Jafar, S., Galal, A.M.: A non-linear study of optical solitons for Kaup-Newell equation without four-wave mixing. J. King Saud Univ. Sci. 34(5), 102056 (2022b)
Rezazadeh, H., Khodadad, F.S., Manafian, J.: New structure for exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation via conformable fractional derivative. Appl. Appl. Math. Int. J. (AAM) 12(1), 26 (2017)MathSciNet
Rezazadeh, H., Tariq, H., Eslami, M., Mirzazadeh, M., Zhou, Q.: New exact solutions of nonlinear conformable time-fractional Phi-4 equation. Chin. J. Phys. 56(6), 2805–2816 (2018)
Samir, I., Badra, N., Seadawy, A.R., Ahmed, H.M., Arnous, A.H.: Exact wave solutions of the fourth order non-linear partial differential equation of optical fiber pulses by using different methods. Optik 230, 166313 (2021)
Samir, I., Badra, N., Ahmed, H.M., Arnous, A.H., Ghanem, A.S.: Solitary wave solutions and other solutions for Gilson-Pickering equation by using the modified extended mapping method. Res. Phys. 36, 105427 (2022)
Triki, H., Zhou, Q., Liu, W., Biswas, A., Moraru, L., Yıldırım, Y., Alshehri, H.M., Belic, M.R.: Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system. Chaos Solitons Fractals 155, 111751 (2022)MathSciNet
Ullah, N., Asjad, M.I., Ur Rehman, H., Akgül, A.: Construction of optical solitons of Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers. Nonlinear Eng. 11(1), 80–91 (2022)ADS
ur Rehman, H., Awan, A.U., Habib, A., Gamaoun, F., El Din, E.M., Galal, A.M.: Solitary wave solutions for a strain wave equation in a microstructured solid. Res. Phys. 39, 105755 (2022)
Wang, X., Javed, S.A., Majeed, A., Kamran, M., Abbas, M.: Investigation of exact solutions of nonlinear evolution equations using unified method. Mathematics 10(16), 2996 (2022a)
Wang, T.-Y., Zhou, Q., Liu, W.-J.: Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers. Chin. Phys. B 31(2), 020501 (2022b)ADS
Wazwaz, A.-M., Albalawi, W., El-Tantawy, S.A.: Optical envelope soliton solutions for coupled nonlinear Schrödinger equations applicable to high birefringence fibers. Optik 255, 168673 (2022)
Yang, Z., Hon, B.Y.C.: An improved modified extended tanh function method. Z. Naturforsch. 61, 103–115 (2006)ADS
Yıldırım, Y., Biswas, A., Jawad, A.J.M., Ekici, M., Zhou, Q., Khan, S., Alzahrani, A.K., Belic, M.R.: Cubic-quartic optical solitons in birefringent fibers with four forms of nonlinear refractive index by exp-function expansion. Res. Phys. 16, 102913 (2020)
Younis, M., Iftikhar, M., Rehman, H.U.: Exact solutions to the nonlinear Schrödinger and Eckhaus equations by modified simple equation method. J. Adv. Phys. 3(1), 77–79 (2014)
Zayed, E.M.E., Shohib, R.M.A., Alngar, M.E.M.: Optical solitons in birefringent fibers with Biswas-Arshed equation having multiplicative noise via Itô calculus using two integration algorithms. Optik 262, 169322 (2022)
Zhou, Q., Sun, Y., Houria Triki, Yu., Zhong, Z.Z., Mirzazadeh, M.: Study on propagation properties of one-soliton in a multimode fiber with higher-order effects. Res. Phys. 41, 105898 (2022)
Metadaten
Titel
Soliton dynamics and travelling wave solutions for high-order nonlinear Schrödinger equation in birefringent fibers using improved modified extended tanh function method
verfasst von
Eman H. M. Abdullah
Afaf A. S. Zaghrout
Hamdy M. Ahmed
Amal Ibrahim Ahmed Bahnasy
Wafaa B. Rabie
Publikationsdatum
01.05.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-024-06488-3

Weitere Artikel der Ausgabe 5/2024

Optical and Quantum Electronics 5/2024 Zur Ausgabe

OriginalPaper

Optical properties and broadband radio frequencies dielectric performance of solution cast-hot pressed PVDF/PMMA/BaTiO3 nanocomposite films

OriginalPaper

High speed UOWC system using DP states with FRS-OCDMA code

OriginalPaper

Monogamy of entanglement and steering in an atom-optomechanical system

OriginalPaper

Investigating the irrotational gravity waves along the surface of an inviscid incompressible fluid model by modified nonlinear Schrödinger equation

OriginalPaper

The coupling study between multi-channel laser diodes and multimode fiber in a fiber pump laser

OriginalPaper

Optical properties of T. cordifolia and Ag-modified ZnS nanoparticles

Neuer Inhalt

    Bildnachweise