IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i11p1632-d1400023.html
   My bibliography  Save this article

Painlevé Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrödinger Equation

Author

Listed:
  • Nikolay A. Kudryashov

    (Moscow Engineering Physics Institute ( MEPI), National Research Nuclear University, 31 Kashirskoe Shosse, 115409 Moscow, Russia)

  • Sofia F. Lavrova

    (Moscow Engineering Physics Institute ( MEPI), National Research Nuclear University, 31 Kashirskoe Shosse, 115409 Moscow, Russia)

Abstract

The second partial differential equation from the Kaup–Newell hierarchy is considered. This equation can be employed to model pulse propagation in optical fiber, wave propagation in plasma, or high waves in the deep ocean. The integrability of the explored equation in traveling wave variables is investigated using the Painlevé test. Periodic and solitary wave solutions of the studied equation are presented. The investigated equation belongs to the class of generalized nonlinear Schrödinger equations and may be used for the description of optical solitons in a nonlinear medium.

Suggested Citation

  • Nikolay A. Kudryashov & Sofia F. Lavrova, 2024. "Painlevé Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrödinger Equation," Mathematics, MDPI, vol. 12(11), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1632-:d:1400023
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/11/1632/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/11/1632/
    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:11:p:1632-:d:1400023. 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.