Skip to main content
SpringerLink
Log in

Construction of solitons in nano optical fibers with dual-power law nonlinearity using MEDAM

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

In this study, the generalized nonlinear Schrödinger equation (GNLSE) is examined. This model takes into account the group velocity dispersion, dual-power law nonlinearity and self-frequency shift. This model is used to mimic the wave propagation over nano optical fibers. Studying is conducted by applying the modified extended direct algebraic method (MEDAM). Based on this method, various types of solutions, such as bright solitons, dark solitons, singular solitons, singular periodic solutions, exponential solutions and Weierstrass elliptic solutions are extracted. The extracted solutions confirmed the efficacy and strength of the current technique. Moreover, the graphs for some solutions are presented to demonstrate their physical nature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Data availability

Not applicable.

References

  • Akbulut, A., Mirzazadeh, M., Hashemi, M.S., Hosseini, K., Salahshour, S., Park, C.: Triki-Biswas model: its symmetry reduction, Nucci’s reduction and conservation laws. Int. J. Modern Phys. B 37(07), 2350063 (2023)

    Article  Google Scholar 

  • Ali, K.K., Cattani, C., Gómez-Aguilar, J., Baleanu, D., Osman, M.: Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Chaos Solitons Fractals 139, 110089 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Ali, K.K., Tarla, S., Sulaiman, T.A., Yilmazer, R.: Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity. Opt. Quantum Electron. 55(2), 179 (2023)

    Article  Google Scholar 

  • Aliyu, A.I., Alshomrani, A.S., Inc, M., Baleanu, D.: Optical solitons for Triki-Biswas equation by two analytic approaches. AIMS Math. 5(2), 1001–1010 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  • Arshad, M., Lu, D., Rehman, M.-U., Ahmed, I., Sultan, A.M.: Optical solitary wave and elliptic function solutions of the Fokas-Lenells equation in the presence of perturbation terms and its modulation instability. Phys. Scr. 94(10), 105202 (2019)

    Article  Google Scholar 

  • Arshed, S., Biswas, A., Guggilla, P., Alshomrani, A.S.: Optical solitons for RadhakrishnanKundu- Lakshmanan equation with full nonlinearity. Phys. Lett. A 384(26), 126191 (2020)

    Article  MATH  Google Scholar 

  • Bilal, M., Haris, H., Waheed, A., Faheem, M.: The analysis of exact solitons solutions in monomode optical fibers to the generalized nonlinear Schrödinger system by the compatible techniques. Int. J. Math. Comput. Eng. 1(2), 79–100 (2023)

    Article  Google Scholar 

  • Bilal, M., Hu, W., Ren, J.: Different wave structures to the Chen-Lee-Liu equation of monomode fibers and its modulation instability analysis. Eur. Phys. J. Plus 136, 1–15 (2021)

    Article  Google Scholar 

  • Bilal, M., Ren, J.: Dynamics of exact solitary wave solutions to the conformable time-space fractional model with reliable analytical approaches. Opt. Quantum Electron. 54, 1–19 (2022)

    Article  Google Scholar 

  • Bilal, M., Ren, J., Inc, M., Alqahtani, R.T.: Dynamics of solitons and weakly ion-acoustic wave structures to the nonlinear dynamical model via analytical techniques. Opt. Quantum Electron. 55(7), 656 (2023)

    Article  Google Scholar 

  • Bilal, M., Ren, J., Younas, U.: Stability analysis and optical soliton solutions to the nonlinear Schrödinger model with efficient computational techniques. Opt. Quantum Electron. 53, 1–19 (2021)

    Article  Google Scholar 

  • Bilal, M., Younas, U., Ren, J.: Propagation of diverse solitary wave structures to the dynamical soliton model in mathematical physics. Opt. Quantum Electron. 53, 1–20 (2021)

    Article  Google Scholar 

  • Bilal, M., Younas, U., Ren, J.: Dynamics of exact soliton solutions to the coupled nonlinear system using reliable analytical mathematical approaches. Commun. Theor. Phys. 73(8), 085005 (2021)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Biswas, A., Zhou, Q., Moshokoa, S., Triki, H., Belic, M., Alqahtani, R.: Existence of resonant 1-soliton in medium with anti-cubic nonlinearity and perturbations. Optik 145, 14–17 (2017)

    Article  ADS  Google Scholar 

  • Hafez, M.G., Akbar, M.A.: An exponential expansion method and its application to the strain wave equation in microstructured solids. Ain Shams Eng. J. 6(2), 683–690 (2015)

    Article  Google Scholar 

  • Hoque, M.F., Roshid, H.O.: Optical soliton solutions of the Biswas-Arshed model by the expansion approach. Phys. Scr. 95(7), 075219 (2020)

    Article  Google Scholar 

  • Ismael, H.F., Younas, U., Sulaiman, T.A., Nasreen, N., Shah, N.A., Ali, M.R.: Non classical interaction aspects to a nonlinear physical model. Res. Phys. 49, 106520 (2023)

    Google Scholar 

  • Khan, Y.: A novel type of soliton solutions for the Fokas-Lenells equation arising in the application of optical fibers. Modern Phys. Lett. B 35(03), 2150058 (2021)

    Article  MathSciNet  Google Scholar 

  • Kohl, R., Milovic, D., Zerrad, E., Biswas, A.: Optical solitons by He’s variational principle in a non-Kerr law media. J. Infrared Millim. Terahertz Waves 30, 526–537 (2009)

    Article  Google Scholar 

  • Levi, D., Scimiterna, C.: The Kundu-Eckhaus equation and its discretizations. J. Phys. A Math. Theor. 42(46), 465203 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  • Liu, J.-G., Zhu, W.-H., Osman, M., Ma, W.-X.: An explicit plethora of different classes of interactive lump solutions for an extension form of 3D-Jimbo-Miwa model. Eur. Phys. J. Plus 135(5), 1–9 (2020)

    Article  Google Scholar 

  • Merabti, A., Triki, H., Azzouzi, F., Zhou, Q., Biswas, A., Liu, W., Alzahrani, A.K., EL-Akrmi, A.: Propagation properties of chirped optical similaritons with dual-power law nonlinearity. Chaos Solitons Fractals 140, 110158 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  • Nasreen, N., Lu, D., Zhang, Z., Akgül, A., Younas, U., Nasreen, S., Al-Ahmadi, A.N.: Propagation of optical pulses in fiber optics modelled by coupled space-time fractional dynamical system. Alex. Eng. J. 73, 173–187 (2023)

    Article  Google Scholar 

  • Nasreen, N., Younas, U., Lu, D., Zhang, Z., Rezazadeh, H., Hosseinzadeh, M.A.: Propagation of solitary and periodic waves to conformable ion sound and Langmuir waves dynamical system. Opt. Quantum Electron. 55(10), 868 (2023)

    Article  Google Scholar 

  • Nasreen, N., Younas, U., Sulaiman, T.A., Zhang, Z., Lu, D.: A variety of M-truncated optical solitons to a nonlinear extended classical dynamical model. Res. Phys. 51, 106722 (2023)

    Google Scholar 

  • Nasreen, N., Rafiq, M.N., Younas, U., Lu, D.: Sensitivity analysis and solitary wave solutions to the (2+1)-dimensional Boussinesq equation in dispersive media. Modern Phys. Lett. B 2350227 (2023)

  • Samir, I., Badra, N., Ahmed, H.M., Arnous, A.H.: Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method. Commun. Nonlinear Sci. Numer. Simul. 102, 105945 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  • Samir, I., Badra, N., Seadawy, A.R., Ahmed, H.M., Arnous, A.H.: Computational extracting solutions for the perturbed Gerdjikov-Ivanov equation by using improved modified extended analytical approach. J. Geom. Phys. 176, 104514 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  • Seadawy, A.R., Alamri, S.Z., Al-Sharari, H.M.: Construction of optical soliton solutions of the generalized nonlinear Radhakrishnan-Kundu-Lakshmanan dynamical equation with power law nonlinearity. Int. J. Modern Phys. B 34(13), 2050139 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  • Seadawy, A.R., Nasreen, N., LuDianchen, D., Arshad, M.: Optical fibers to model pulses of ultra-short via gernalized third-order nonlinear Schrodinger equation by using extended and modified rational expansion method. J. Nonlinear Opt. Phys. Mater. 2350058 (2023)

  • SeadawyAly, A.R., Nasreen, N., Lu, D.: Complex model ultra-short pulses in optical fibers via generalized third-order nonlinear Schrödinger dynamical equation. Int. J. Modern Phys. B 34(17), 2050143 (2020)

    Google Scholar 

  • Srivastava, H., Baleanu, D., Machado, J., Osman, M., Rezazadeh, H., Arshed, S., Günerhan, H.: Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method. Phys. Scr. 95(7), 075217 (2020)

    Article  Google Scholar 

  • Triki, H., Biswas, A., Moshokoa, S.P., Belic, M.: Optical solitons and conservation laws with quadratic-cubic nonlinearity. Optik 128, 63–70 (2017)

    Article  ADS  Google Scholar 

  • Tripathy, A., Sahoo, S., Ray, S.S., Abdou, M.A.: New optical soliton solutions of Biswas-Arshed model with Kerr law nonlinearity. Int. J. Modern Phys. B 35(26), 2150263 (2021)

    Article  MATH  Google Scholar 

  • Younas, U., Bilal, M., Ren, J.: Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion. Opt. Quantum Electron. 53, 1–25 (2021)

    Article  Google Scholar 

  • Younas, U., Ren, J., Bilal, M.: Dynamics of optical pulses in fiber optics. Modern Phys. Lett. B 36(05), 2150582 (2022)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

Not applicable.

Funding

Not applicable.

Author information

Authors and Affiliations

  1. Department of Mathematics and Engineering Physics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

    Mohammed H. Ali & Hamdy M. Ahmed

  2. Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt

    Hassan M. El-Owaidy & Ahmed A. El-Deeb

  3. Department of Physics and Engineering Mathematics, Faculty of engineering, Ain Shams University, Abbassia, Cairo, Egypt

    Islam Samir

Authors
  1. Mohammed H. Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hassan M. El-Owaidy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hamdy M. Ahmed
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ahmed A. El-Deeb
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Islam Samir
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

The authors declare that the study was realized in collaboration with the same responsibility. All authors read and approved the manuscript.

Corresponding author

Correspondence to Hamdy M. Ahmed.

Ethics declarations

Conflict of interest

The authors declare that they have no competing interests.

Consent to participate

Not applicable

Consent for publication

Not applicable.

Ethics approval

Not applicable

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ali, M.H., El-Owaidy, H.M., Ahmed, H.M. et al. Construction of solitons in nano optical fibers with dual-power law nonlinearity using MEDAM. Opt Quant Electron 55, 1220 (2023). https://doi.org/10.1007/s11082-023-05546-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-023-05546-6

Keywords

Search

Navigation