IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v155y2022ics0960077921009942.html
   My bibliography  Save this article

Envelope solitons of the nonlinear discrete vertical dust grain oscillation in dusty plasma crystals

Author

Listed:
  • Houwe, Alphonse
  • Abbagari, Souleymanou
  • Inc, Mustafa
  • Betchewe, Gambo
  • Doka, Serge Y.
  • Crépin, Kofane T.

Abstract

The paper concerns envelope soliton propagating through the nonlinear transverse dust grain displacement in dusty plasma crystals. The work found its motivation from the recent paper of the authors [7]. To reach the goal of this study we establish the linear dispersion and the nonlinear Schrödinger equation (NLSE) by employing the quasi discrete approximation [7,13–15]. Contrary to ref. [7], it is observed one additional regime of the formation of the dark soliton while choosing the gap frequency value (ωg≈150sec−) which is close to the experimental value given by Motcheyo et al. [7], Tsopgue et al. To corroborate the prediction made analytically to group velocity, was confirmed by numerical and experimental studies. As, it is established that in general manner the modulated waves describing by the NLSE can be stable or unstable to the perturbation, the modulation instability of steady state have been done. Despite, that the bandwidth of the model has been reduced compared to [7,13–15], we can say without hesitation that this work will be a capital contribution in dusty plasma crystal.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921009942
    DOI: 10.1016/j.chaos.2021.111640
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921009942
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111640?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. Abdoulkary, Saidou & English, L.Q. & Mohamadou, Alidou, 2016. "Envelope solitons in a left-handed nonlinear transmission line with Josephson junction," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 44-50.
    2. Thomas C. Killian, 2004. "Plasmas put in order," Nature, Nature, vol. 429(6994), pages 815-817, June.
    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. Chen, Si-Jia & Lü, Xing, 2022. "Observation of resonant solitons and associated integrable properties for nonlinear waves," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    2. 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).

    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.

      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:155:y:2022:i:c:s0960077921009942. 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.