IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v169y2023ics0960077923001388.html
   My bibliography  Save this article

Bifurcation, phase portrait, chaotic pattern and optical soliton solutions of the conformable Fokas–Lenells model in optical fibers

Author

Listed:
  • Li, Zhao
  • Huang, Chun

Abstract

In this paper, conformable Fokas–Lenells model is under consideration, this model is usually used to simulate the propagation model of femtosecond pulses in single-mode optical fibers. Firstly, the traveling wave transformation is applied to convert the conformable Fokas–Lenells model into two-dimensional planar dynamic system. Secondly, the bifurcation of the dynamics system of the conformable Fokas–Lenells model is discussed by using the theory of the plane dynamics system. What is more, two-dimensional phase portraits, three-dimensional phase portraits and Poincaré sections of the dynamics system with perturbation term are drawn with the help of the Maple mathematical software. Finally, the optical soliton solutions of the conformable Fokas–Lenells model are construct by using the analysis method of planar dynamical system.

Suggested Citation

  • Li, Zhao & Huang, Chun, 2023. "Bifurcation, phase portrait, chaotic pattern and optical soliton solutions of the conformable Fokas–Lenells model in optical fibers," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001388
    DOI: 10.1016/j.chaos.2023.113237
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923001388
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.113237?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Zhao, 2022. "Bifurcation and traveling wave solution to fractional Biswas-Arshed equation with the beta time derivative," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Zhao Li & Peng Li & Tianyong Han & Abdul Qadeer Khan, 2021. "Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-6, October.
    3. Triki, Houria & Zhou, Qin & Liu, Wenjun & Biswas, Anjan & Moraru, Luminita & Yıldırım, Yakup & Alshehri, Hashim M. & Belic, Milivoj R., 2022. "Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhao Li & Chen Peng, 2023. "Dynamics and Embedded Solitons of Stochastic Quadratic and Cubic Nonlinear Susceptibilities with Multiplicative White Noise in the Itô Sense," Mathematics, MDPI, vol. 11(14), pages 1-11, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Han, Tianyong & Li, Zhao & Li, Chenyu, 2023. "Bifurcation analysis, stationary optical solitons and exact solutions for generalized nonlinear Schrödinger equation with nonlinear chromatic dispersion and quintuple power-law of refractive index in ," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    2. Zhu, Bo-Wei & Fang, Yin & Liu, Wei & Dai, Chao-Qing, 2022. "Predicting the dynamic process and model parameters of vector optical solitons under coupled higher-order effects via WL-tsPINN," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Zhou, Qin & Triki, Houria & Xu, Jiakun & Zeng, Zhongliang & Liu, Wenjun & Biswas, Anjan, 2022. "Perturbation of chirped localized waves in a dual-power law nonlinear medium," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    4. Han, Tianyong & Li, Zhao & Shi, Kaibo & Wu, Guo-Cheng, 2022. "Bifurcation and traveling wave solutions of stochastic Manakov model with multiplicative white noise in birefringent fibers," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001388. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.