nach oben

Optical and Quantum Electronics

Erschienen in:

01.03.2024

Exploring optical soliton solutions of a self-focusing nonlinear Schrödinger equation by two effective techniques

verfasst von: Shafiq Ahmad, Maha Alammari, Aman Ullah, Shabir Ahmad, Sayed Saifullah, Naila Nasreen

Erschienen in: Optical and Quantum Electronics | Ausgabe 3/2024

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this manuscript, we have conducted a comprehensive investigation of the self-focusing Schrödinger equation with fourth-order dispersion, yielding closed-form results for crucial optical soliton solutions. To achieve this, we have employed two distinct methodologies. Firstly, we harnessed the power of the generalized Kudryashov method to derive novel solutions for the Schrödinger equation, expanding the landscape of possible solutions. To further enrich our understanding of optical solitons, we incorporated the \(\left( \frac{1}{\mathscr {G}^{\prime }}\right)\) expansion technique, uncovering additional soliton solutions. The behavior of these solutions is vividly illustrated through 2D and 3D graphical representations, shedding light on the characteristics of bright, breather-type, and combined M-W-shaped optical solitons. Moreover, we have meticulously examined the influence of specific parameters on the dynamics of soliton solutions obtained via the \(\left( \frac{1}{\mathscr {G}^{\prime }}\right)\) method, providing valuable insights into the interplay between these parameters and the soliton behavior.

Vorheriger Artikel Music photonic signal analysis based health monitoring system using classification by quantum machine learning techniques

Nächster Artikel An efficient attenuator for gamma rays and slow neutrons of elastic and transparent lead sodium zinc calcium borate glass

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

Ali, K.K., Wazwaz, A.-M., Osman, M.S.: Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method. Optik 208, 164132 (2020)ADSCrossRef

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), 1–16 (2023)CrossRef

Hang, C., Zhang, H.-Q.: Rogue waves of the coupled modified nonlinear Schrödinger equations. Appl. Math. Lett. 137, 108478 (2023)CrossRef

He, Q.Z., Xia, P.F., Hu, C., Li, B.: Public information, actual intervention and inflation expectations. Transform. Bus. Econ. 21(3C), 644–666 (2022)

He, Q., Zhang, X., Xia, P., Zhao, C., Li, S.: A comparison research on dynamic characteristics of Chinese and American energy prices. J. Glob. Inf. Manag. (JGIM) 31(1), 1–16 (2023)CrossRef

Iqbal, I., Ur Rehman, H., Mirzazadeh, M., Hashemi, M.S.: Retrieval of optical solitons for nonlinear models with Kudryashov’s quintuple power law and dual-form nonlocal nonlinearity. Opt. Quantum Electron. 55(7), 588 (2023)CrossRef

Khan, A., Ali, A., Ahmad, S., Saifullah, S., Nonlaopon, K., Akgül, A.: Nonlinear Schrödinger equation under non-singular fractional operators: a computational study. Results Phys. 43, 106062 (2022)CrossRef

Khuri, S.A., Wazwaz, A.-M.: Soliton solutions through optical fibers for quadratic-cubic nonlinear medium: a complex Ansätze approach. Optik 229, 166268 (2021)ADSCrossRef

Kudryashov, N.A.: Mathematical model with unrestricted dispersion and polynomial nonlinearity. Appl. Math. Lett. 138, 108519 (2023)MathSciNetCrossRef

Li, B., Eskandari, Z.: Dynamical analysis of a discrete-time SIR epidemic model. J. Frankl. Inst. 360, 7989–8007 (2023a)

Li, P., Gao, R., Xu, C., Shen, J., Ahmad, S., Li, Y.: Exploring the impact of delay on Hopf bifurcation of a type of BAM neural network models concerning three nonidentical delays. Neural Process. Lett. 55, 11595–11635 (2022a). https://doi.org/10.1007/s11063-022-11118-8CrossRefPubMedPubMedCentral

Li, B., Zhang, T., Zhang, C.: Investigation of financial bubble mathematical model under fractal-fractional Caputo derivative. Fractals, 31, 1–13 (2023b)

Li, P.L., Lu, Y.J., Xu, C.J., Ren, J.: Insight into Hopf bifurcation and control methods in fractional order BAM neural networks incorporating symmetric structure and delay. Cogn. Comput. 15, 1825–1867 (2023b). https://doi.org/10.1007/s12559-023-10155-2

Li, P., Peng, X., Xu, C., Han, L., Shi, S.: Novel extended mixed controller design for bifurcation control of fractional-order Myc/E2F/miR-17-92 network model concerning delay. Math. Methods Appl. Sci. 46, 18878–18898 (2023c). https://doi.org/10.1002/mma.9597

Mathanaranjan, T.: An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity. Comput. Methods Differ. Equ. 10(3), 701–715 (2022)MathSciNet

Mathanaranjan, T.: Optical solitons and stability analysis for the new (3 + 1)-dimensional nonlinear Schrödinger equation. J. Nonlinear Opt. Phys. Mater. 32(02), 2350016 (2023a)

Mathanaranjan, T.: New Jacobi Elliptic solutions and other solutions in optical metamaterials having higher-order dispersion and its stability analysis. Int. J. Appl. Comput. Math. 9(5), 66 (2023b)

Mathanaranjan, T.: Optical soliton, linear stability analysis and conservation laws via multipliers to the integrable Kuralay equation. Optik 290, 171266 (2023c)

Mathanaranjan, T., Vijayakumar, D.: New soliton solutions in nano-fibers with space-time fractional derivatives. Fractals 30(07), 2250141 (2022)ADSCrossRef

Mathanaranjan, T., Kumar, D., Rezazadeh, H., Akinyemi, L.: Optical solitons in metamaterials with third and fourth order dispersions. Opt. Quantum Electron. 54(5), 271 (2022)CrossRef

Mu, D., Xu, C., Liu, Z., Pang, Y.: Further insight into bifurcation and hybrid control tactics of a chlorine dioxide-iodine-malonic acid chemical reaction model incorporating delays. MATCH Commun. Math. Comput. Chem. 89(3), 529–566 (2023). https://doi.org/10.46793/match.89-3.529MCrossRef

Shi, D., Ur Rehman, H., Iqbal, I., Vivas-Cortez, M., Saleem, M.S., Zhang, X.: Analytical study of the dynamics in the double-chain model of DNA. Results Phys. 52, 106787 (2023)CrossRef

Ur Rehman, H., Imran, M.A., Bibi, M., Riaz, M., Akgül, A.: New soliton solutions of the 2D-chiral nonlinear Schrödinger equation using two integration schemes. Math. Methods Appl. Sci. 44(7), 5663–5682 (2021)ADSMathSciNetCrossRef

Ur Rehman, H., Awan, A.U., Allahyani, S.A., Tag-ElDin, E.M., Binyamin, M.A., Yasin, S.: Exact solution of paraxial wave dynamical model with Kerr Media by using \(\phi ^6\) model expansion technique. Results Phys. 42, 105975 (2022)CrossRef

Ur Rehman, H., Iqbal, I., Zulfiqar, H., Gholami, D., Rezazadeh, H.: Stochastic soliton solutions of conformable nonlinear stochastic systems processed with multiplicative noise. Phys. Lett. A 486, 129100 (2023)MathSciNetCrossRef

Wazwaz, A.-M.: Bright and dark optical solitons for (3 + 1)-dimensional Schrödinger equation with cubic–quintic–septic nonlinearities. Optik 225, 165752 (2021)ADSCrossRef

Wazwaz, A.-M., Mehanna, M.: Bright and dark optical solitons for a new (3 + 1)-dimensional nonlinear Schrödinger equation. Optik 241, 166985 (2021)ADSCrossRef

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)ADSCrossRef

Xu, C., Liao, M., Li, P., Yao, L., Qin, Q., Shang, Y.: Chaos control for a fractional-order Jerk system via time delay feedback controller and mixed controller. Fractal Fract. 5(4), 257 (2021). https://doi.org/10.3390/fractalfract5040257CrossRef

Xu, C., Cui, Q., Liu, Z., Pan, Y., Cui, X., Ou, W., Rahman, M.U., Farman, M., Ahmad, S., Zeb, A.: Extended hybrid controller design of bifurcation in a delayed chemostat model. MATCH Commun. Math. Comput. Chem. 90(3), 609–648 (2023a). https://doi.org/10.46793/match.90-3.609X

Xu, C., Mu, D., Liu, Z., Pang, Y., Liao, M., Li, P.: Bifurcation dynamics and control mechanism of a fractional-order delayed Brusselator chemical reaction model. MATCH Commun. Math. Comput. Chem. 89(1), 73–106 (2023b). https://doi.org/10.46793/match.89-1.073X

Xu, C., Liu, Z., Li, P., Yan, J., Yao, L.: Bifurcation mechanism for fractional-order three-triangle multi-delayed neural networks. Neural Process. Lett. 55, 6125–6151 (2023c). https://doi.org/10.1007/s11063-022-11130-y

Zhao, Y.-H., Mathanaranjan, T., Rezazadeh, H., Akinyemi, L., Inc, M.: New solitary wave solutions and stability analysis for the generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles. Results Phys. 43, 106083 (2022)CrossRef

Titel: Exploring optical soliton solutions of a self-focusing nonlinear Schrödinger equation by two effective techniques
verfasst von: Shafiq Ahmad
Maha Alammari
Aman Ullah
Shabir Ahmad
Sayed Saifullah
Naila Nasreen
Publikationsdatum: 01.03.2024
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 3/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05936-w

Neuer Inhalt

Bildnachweise

VDI-Icon, Profil Icon, inhalt2, Springer Professional Modul/© Springer Fachmedien Wiesbaden GmbH, Internationaler Motorenkongress/© [M] ATZlive | Chisnikov / Fotolia.com, Search Icon, Banner Hanser, Customer Experience/© © oatawa / Getty Images / iStock, Erdgasmotor 1.5 TGI evo von Volkswagen/© Volkswagen AG, Thorsten Mücke/© Alexandra Bachran, Zeitschrift Wissensmanagement Cover, PatentFit-Logo/© Springer Fachmedien Wiesbaden GmbH, 2023_Antrieb/© supervisuell, ATZ-Webinar: Prototypenfreie Entwicklung durch Offline- und Driver-in-the-Loop-HiL-Tests /© (c) VI-grade, chassis.tech plus 2023/© [M] ATZlive / TÜV SÜD PRODUCT SERVICE GMBH

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 3/2024

Design of an optical square root evaluator based on a two-bit optical divider circuit using micro-optical ring resonator (MORR) in the Z-domain

A theoretical investigation of the Ba2CePtO6 double perovskite for optoelectronic and thermoelectric applications

Quantum-based optical sensors for enhanced energy-efficient wireless communication

High dimensional image super-resolution model based on infrared spectral imaging for aerobics training simulation monitoring

Electronic, optical, magnetic, and magnetocaloric properties of double perovskites Sr2CrOsO6: first principles approach and Monte Carlo simulation

Ultra-broadband, polarization-independent, and wide-angle metamaterial absorber based on fabrication-friendly Ti and TiO2 resonators

Neuer Inhalt

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

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