IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/5545984.html
   My bibliography  Save this article

Characteristics of the Soliton Molecule and Lump Solution in the - Dimensional Higher-Order Boussinesq Equation

Author

Listed:
  • Bo Ren

Abstract

The soliton molecules, as bound states of solitons, have attracted considerable attention in several areas. In this paper, the - dimensional higher-order Boussinesq equation is constructed by introducing two high-order Hirota operators in the usual - dimensional Boussinesq equation. By the velocity resonance mechanism, the soliton molecule and the asymmetric soliton of the higher-order Boussinesq equation are constructed. The soliton molecule does not exist for the usual - dimensional Boussinesq equation. As a special kind of rational solution, the lump wave is localized in all directions and decays algebraically. The lump solution of the higher-order Boussinesq equation is obtained by using a quadratic function. This lump wave is just the bright form by some detail analysis. The graphics in this study are carried out by selecting appropriate parameters. The results in this work may enrich the variety of the dynamics of the high-dimensional nonlinear wave field.

Suggested Citation

  • Bo Ren, 2021. "Characteristics of the Soliton Molecule and Lump Solution in the - Dimensional Higher-Order Boussinesq Equation," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-7, April.
    • Handle: RePEc:hin:jnlamp:5545984
    DOI: 10.1155/2021/5545984
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2021/5545984.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2021/5545984.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5545984?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
    ---><---

    More about this item

    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:hin:jnlamp:5545984. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.