IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/9882817.html
   My bibliography  Save this article

Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation

Author

Listed:
  • Bao Wang
  • Zhiqiang Chen
  • Luigi C. Berselli

Abstract

Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare. Hence, this paper is aimed at exploring the breather, lump, and interaction solutions with a small perturbation to (2+1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation. General high-order periodic breather solutions are obtained using Hirota’s bilinear method with a small perturbation. At the same time, combining the use of long wave limit methods and module resonance constraints, general lump solutions and mixed solutions to gKP equation are generated. Finally, the space-time structures of the breather solutions, lump solutions, and interaction solutions are investigated and discussed.

Suggested Citation

  • Bao Wang & Zhiqiang Chen & Luigi C. Berselli, 2022. "Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-11, November.
    • Handle: RePEc:hin:jnlamp:9882817
    DOI: 10.1155/2022/9882817
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/amp/2022/9882817.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/amp/2022/9882817.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9882817?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:9882817. 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.