IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v279y2016icp62-75.html
   My bibliography  Save this article

A lattice Boltzmann model for the ion- and electron-acoustic solitary waves in beam-plasma system

Author

Listed:
  • Wang, Huimin

Abstract

In this paper, a lattice Boltzmann model for the ion- and electron-acoustic solitary waves in beam-plasma system is proposed. By using the Chapman–Enskog expansion and the multi-scale time expansion, a series of partial differential equations in different time scales are obtained. By selecting the appropriate moments of the equilibrium distribution functions, the macroscopic equations are recovered. In numerical examples, we simulate the propagation of the ion- and electron-acoustic solitary waves. Numerical results show that the lattice Boltzmann method is an effective tool for the study of the ion- and electron-acoustic solitary waves in plasma.

Suggested Citation

  • Wang, Huimin, 2016. "A lattice Boltzmann model for the ion- and electron-acoustic solitary waves in beam-plasma system," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 62-75.
    • Handle: RePEc:eee:apmaco:v:279:y:2016:i:c:p:62-75
    DOI: 10.1016/j.amc.2016.01.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300316300078
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2016.01.007?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. Sauro Succi, 1998. "Lattice Quantum Mechanics: An Application to Bose–Einstein Condensation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1577-1585.
    2. Zhang, Jianying & Yan, Guangwu, 2008. "Lattice Boltzmann method for one and two-dimensional Burgers equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4771-4786.
    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. Huimin Wang & Yanhong Liu & Xiuling Li & Hengjia Chen, 2024. "Numerical Simulation for Solitary Waves of the Generalized Zakharov Equation Based on the Lattice Boltzmann Method," Mathematics, MDPI, vol. 12(7), pages 1-14, March.

    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. Kim, Philsu & Kim, Dojin, 2020. "Convergence and stability of a BSLM for advection-diffusion models with Dirichlet boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    2. Egidi, Nadaniela & Maponi, Pierluigi, 2016. "Artificial boundary conditions for the Burgers equation on the plane," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 1-14.
    3. Liu, Fang & Shi, Weiping & Wu, Fangfang, 2016. "A lattice Boltzmann model for the generalized Boussinesq equation," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 331-342.

    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:apmaco:v:279:y:2016:i:c:p:62-75. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.