IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v208y2026ip3s0960077926004170.html

Long-time asymptotics for the nonlocal Gerdjikov–Ivanov equation with decaying initial value

Author

Listed:
  • Hu, Jiawei
  • Dong, Huanhe
  • Zhang, Ning

Abstract

We present a rigorous asymptotic analysis of the nonlocal Gerdjikov–Ivanov (GI) equation with decaying initial data, aiming to characterize its behavior in the long-time limit. Utilizing the inverse scattering transform and the Deift–Zhou steepest descent technique, we derive asymptotic expansions for the solution. A key finding is the emergence of a spatiotemporal pattern that diverges fundamentally from the local GI dynamics. Specifically, the wave structure is dominated by a decay rate coupled with phase modulations along the ray x/y. This phenomenon highlights the intrinsic role of nonlocality in reshaping the spectral properties and, consequently, the nonlinear wave dispersion.

Suggested Citation

  • Hu, Jiawei & Dong, Huanhe & Zhang, Ning, 2026. "Long-time asymptotics for the nonlocal Gerdjikov–Ivanov equation with decaying initial value," Chaos, Solitons & Fractals, Elsevier, vol. 208(P3).
    • Handle: RePEc:eee:chsofr:v:208:y:2026:i:p3:s0960077926004170
    DOI: 10.1016/j.chaos.2026.118276
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077926004170
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2026.118276?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:eee:chsofr:v:208:y:2026:i:p3:s0960077926004170. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.