IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i18p3250-d909125.html
   My bibliography  Save this article

Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations

Author

Listed:
  • Xiaodong Wang

    (School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China)

  • Jianping Wu

    (School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China)

  • Yazi Wang

    (School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China)

  • Can Chen

    (School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China)

Abstract

In order to construct the multiple traveling wave solutions of the nonlocal modified Korteweg de Vires (mKdV) equation, the modified tanh-function approach for local soliton equations is extended to a nonlocal complex mKdV equation. The central idea of this method is to use the solution of the Riccati equation to replace the tanh function in the tanh function (THF) method. As an application, we investigate a new traveling wave solution for the nonlocal complex mKdV equation of Ablowitz and Musslimani. Moreover, some exciting diagrams show the underlying dynamics of some given solutions.

Suggested Citation

  • Xiaodong Wang & Jianping Wu & Yazi Wang & Can Chen, 2022. "Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations," Mathematics, MDPI, vol. 10(18), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3250-:d:909125
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/18/3250/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/18/3250/
    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:10:y:2022:i:18:p:3250-:d:909125. 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.