IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v93y2016icp162-168.html
   My bibliography  Save this article

Nonlinear dynamics of soliton collisions in electronegative plasmas: The phase shifts of the planar KdV- and mkdV-soliton collisions

Author

Listed:
  • El-Tantawy, S.A.

Abstract

The collisions of weakly nonlinear structures in an electronegative plasma consisting of Boltzmann electrons, Boltzmann negative ions, and cold mobile positive ions are investigated depending on experimental data. Our attention is focused on the study of the face-to-face soliton collisions, i.e. head-on soliton collisions. To do this, the extended Poincaré–Lighthill–Kuo (PLK) reductive perturbation method is used. The present study is split into two parts: the first one, called generic case. In this case, the two-coupled Korteweg–de Vries (KdV) equations and the analytical phase shifts after the head-on collision of the two-KdV solitons are obtained. Our numerical calculations, showed that both compressive and rarefactive solitons can exist in such plasma, depending on the relevant physical plasma parameters, namely the electrons-to-negative ion temperature ratio and the negative ion concentration. It is found that the phase shift has a positive sign for compressive solitary structures and negative sign for rarefactive solitary structures. At the critical value of the temperature ratio, the two-coupled modified Kortwege–de Vries (mKdV) equations are used to study the soliton collision rather than the two-KdV equations and the analytical phase shifts after the collision are derived. In the latter case (called special case), the combinations of negative and positive soliton collision can occur, contrary to the generic case, where both soliton collisions necessarily have the same polarity. The plasma parameter values for laboratory experiment are taken for discussion.

Suggested Citation

  • El-Tantawy, S.A., 2016. "Nonlinear dynamics of soliton collisions in electronegative plasmas: The phase shifts of the planar KdV- and mkdV-soliton collisions," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 162-168.
  • Handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:162-168
    DOI: 10.1016/j.chaos.2016.10.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007791630306X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2016.10.011?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.

    Citations

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


    Cited by:

    1. Yang, Yingjuan & Qi, Guoyuan, 2018. "Mechanical analysis and bound of plasma chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 187-195.
    2. Noufe H. Aljahdaly & S. A. El-Tantawy, 2021. "On the Multistage Differential Transformation Method for Analyzing Damping Duffing Oscillator and Its Applications to Plasma Physics," Mathematics, MDPI, vol. 9(4), pages 1-12, February.
    3. El-Tantawy, S.A. & Salas, Alvaro H. & Alharthi, M.R., 2021. "Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. El-Tantawy, S.A. & Salas, Alvaro H. & Alyousef, Haifa A. & Alharthi, M.R., 2022. "Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    5. Wedad Albalawi & Rasool Shah & Nehad Ali Shah & Jae Dong Chung & Sherif M. E. Ismaeel & Samir A. El-Tantawy, 2023. "Analyzing Both Fractional Porous Media and Heat Transfer Equations via Some Novel Techniques," Mathematics, MDPI, vol. 11(6), pages 1-19, March.

    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:93:y:2016:i:c:p:162-168. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.