IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v198y2025ics0960077925006022.html

Solitons and transmission feasibility in piezoelectric semiconductor quantum plasmas

Author

Listed:
  • Yadav, Abhishek
  • Kumar, Punit

Abstract

A study of coupling of the lattice ion vibrations, with the electron waves in a piezoelectric semiconductor quantum plasma is presented. The nonlinearities have been studied and the solitons have been analyzed. The theory has been built using the quantum hydrodynamic (QHD) model, incorporating the effects of Fermi pressure, quantum Bohm and exchange correlation potentials. The dispersion relation for the coupling has been set up. A set of nonlinear evolution equations has been established using the two-time scale theory and soliton solution for coupled nonlinear evolution equations has been obtained using the modified quantum Zakharov equations. The solitons are found to have a cusp profile. It is also found that soliton's field amplitude increases significantly with particle density and coupling strength in piezoelectric semiconductor quantum plasma.

Suggested Citation

  • Yadav, Abhishek & Kumar, Punit, 2025. "Solitons and transmission feasibility in piezoelectric semiconductor quantum plasmas," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925006022
    DOI: 10.1016/j.chaos.2025.116589
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925006022
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116589?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Krishna Sharma & Utpal Deka, 2024. "Effect of spin quantum force on lower and upper hybrid waves’ instability under the influence of an electron beam in a magnetized semiconductor plasma," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(9), pages 1-11, September.
    2. Qiao, Zhijun & Qiao, Xin Brian, 2005. "Cusp solitons and cusp-like singular solutions for nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 153-163.
    3. Guo, Boling & Liu, Zhengrong, 2005. "Periodic cusp wave solutions and single-solitons for the b-equation," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1451-1463.
    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. Xu, Chuanhai & Tian, Lixin, 2009. "The bifurcation and peakon for K(2,2) equation with osmosis dispersion," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 893-901.
    2. Yu, Liqin & Tian, Lixin & Wang, Xuedi, 2006. "The bifurcation and peakon for Degasperis–Procesi equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 956-966.
    3. Chen, Can & Tang, Minying, 2006. "A new type of bounded waves for Degasperis–Procesi equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 698-704.
    4. Yin, Jiuli & Tian, Lixin, 2009. "Stumpons and fractal-like wave solutions to the Dullin–Gottwald–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 643-648.
    5. Qiao, Zhijun, 2008. "M-Shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis–Procesi equation," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 501-507.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:198:y:2025:i:c:s0960077925006022. 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.