IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i7p1085-d1369836.html
   My bibliography  Save this article

Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation

Author

Listed:
  • Cuiyun Shi

    (School of Basic Science, Guilin University of Technology at Nanning, Nanning 530001, China)

  • Maojun Bin

    (Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin 537000, China)

  • Zaiyun Zhang

    (Center for Applied Mathematics of Guangxi, Yulin Normal University, Yulin 537000, China)

Abstract

In this paper, we investigate the Cauchy problem for a three-component generalization of Camassa–Holm equation (G3CH equation henceforth) with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time.

Suggested Citation

  • Cuiyun Shi & Maojun Bin & Zaiyun Zhang, 2024. "Analyticity of the Cauchy Problem for a Three-Component Generalization of Camassa–Holm Equation," Mathematics, MDPI, vol. 12(7), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1085-:d:1369836
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/7/1085/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/7/1085/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:12:y:2024:i:7:p:1085-:d:1369836. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.