IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/5533472.html
   My bibliography  Save this article

New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy

Author

Listed:
  • Wei Zhu
  • Jian-Yong Wang
  • Kai Zhou
  • Shoufeng Shen
  • Bo Ren
  • Mohammad Mirzazadeh

Abstract

The multilinear variable separation (MLVS) approach has been proven to be very useful in solving (2 + 1)-dimensional integrable systems. Taking the (3 + 1)-dimensional Burgers hierarchy as an example, we extend the MLVS approach to a whole family of (3 + 1)-dimensional Burgers hierarchy. New exact solutions and universal formulas are obtained, which lead to abundant (3 + 1)-dimensional coherent structures. In particular, two ring-type soliton molecules and their interactions are shown in detail. We also generalize the MLVS results of the (3 + 1)-dimensional Jimbo–Miwa (JM) equation and modified JM equation.

Suggested Citation

  • Wei Zhu & Jian-Yong Wang & Kai Zhou & Shoufeng Shen & Bo Ren & Mohammad Mirzazadeh, 2024. "New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy," Advances in Mathematical Physics, Hindawi, vol. 2024, pages 1-7, April.
    • Handle: RePEc:hin:jnlamp:5533472
    DOI: 10.1155/2024/5533472
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/amp/2024/5533472.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/amp/2024/5533472.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2024/5533472?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:5533472. 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.