IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v164y2022ics0960077922007846.html
   My bibliography  Save this article

Nonlinear dispersive wave propagation pattern in optical fiber system

Author

Listed:
  • Uddin, M. Hafiz
  • Zaman, U.H.M.
  • Arefin, Mohammad Asif
  • Akbar, M. Ali

Abstract

Nonlinear fractional-order partial differential equations are an important tool in science and engineering for explaining a wide range of nonlinear processes. We consider the nonlinear space-time fractional modified Korteweg de Vries and sine-Gordon equations in this article and extract diverse sorts of traveling wave as well as soliton solutions using a typical approach, namely the generalized G′/G-expansion approach. These equations are used to model a wide range of nonlinear phenomena, including plasma physics, high-intensity laser-generated plasma, ultra-small electronic devices, optical fibers, control theory, turbulence, acoustics, and others. The fractional derivative is defined in the sense of the beta-derivative established by Atangana and Baleanu. Some standard shapes of waveforms, including kink type, singular-kink type, bell-shaped, periodic-type, single soliton, multiple soliton type, and several other types of solitons, have been established. To validate the physical compatibility of the results, the 3D, contour, and vector plots have been delineated using consistent values of the parameters. The approach used in this study to extract inclusive and standard solutions is approachable, efficient, and speedier in computing.

Suggested Citation

  • Uddin, M. Hafiz & Zaman, U.H.M. & Arefin, Mohammad Asif & Akbar, M. Ali, 2022. "Nonlinear dispersive wave propagation pattern in optical fiber system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
  • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922007846
    DOI: 10.1016/j.chaos.2022.112596
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922007846
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2022.112596?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. Houwe, Alphonse & Abbagari, Souleymanou & Inc, Mustafa & Betchewe, Gambo & Doka, Serge Y. & Crépin, Kofane T., 2022. "Envelope solitons of the nonlinear discrete vertical dust grain oscillation in dusty plasma crystals," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Baoyong Guo & Huanhe Dong & Yong Fang, 2020. "Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method," Complexity, Hindawi, vol. 2020, pages 1-9, March.
    3. M. Hafiz Uddin & Mohammad Asif Arefin & M. Ali Akbar & Mustafa Inc, 2021. "New Explicit Solutions to the Fractional-Order Burgers’ Equation," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, June.
    4. Abdon Atangana & Emile Franc Doungmo Goufo, 2014. "Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, November.
    Full references (including those not matched with items on IDEAS)

    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. Dubey, Shweta & Chakraverty, S., 2022. "Application of modified extended tanh method in solving fractional order coupled wave equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 509-520.
    2. Akram, Ghazala & Sadaf, Maasoomah & Abbas, Muhammad & Zainab, Iqra & Gillani, Syeda Rijaa, 2022. "Efficient techniques for traveling wave solutions of time-fractional Zakharov–Kuznetsov equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 607-622.
    3. Sahoo, Sanjay Ku & Gupta, Vikas & Dubey, Shruti, 2024. "A robust higher-order finite difference technique for a time-fractional singularly perturbed problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 43-68.
    4. Chen, Si-Jia & Lü, Xing, 2022. "Observation of resonant solitons and associated integrable properties for nonlinear waves," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    5. Panda, Sumati Kumari & Ravichandran, C. & Hazarika, Bipan, 2021. "Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 142(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:164:y:2022:i:c:s0960077922007846. 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.