IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2015y2015i1n392723.html

Links between (γn, σk)‐KP Hierarchy, (γn, σk)‐mKP Hierarchy, and (2+1)‐(γn, σk)‐Harry Dym Hierarchy

Author

Listed:
  • Yehui Huang
  • Yuqin Yao
  • Yunbo Zeng

Abstract

The new (2+1)‐(γn, σk)‐Harry Dym hierarchy and (γn, σk)‐mKP hierarchy with two new time series γn and σk, which consist of γn‐flow, σk‐flow, and mixed γn and σk evolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between (γn, σk)‐KP hierarchy, (γn, σk)‐mKP hierarchy, and (2+1)‐(γn, σk)‐Harry Dym hierarchy are studied. Their soliton solutions are presented.

Suggested Citation

  • Yehui Huang & Yuqin Yao & Yunbo Zeng, 2015. "Links between (γn, σk)‐KP Hierarchy, (γn, σk)‐mKP Hierarchy, and (2+1)‐(γn, σk)‐Harry Dym Hierarchy," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:392723
    DOI: 10.1155/2015/392723
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2015/392723
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/392723?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
    ---><---

    References listed on IDEAS

    as
    1. Xiao, Ting & Zeng, Yunbo, 2005. "A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 38-60.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Hong-Yan, 2009. "Commutativity of source generation procedure and Bäcklund transformation: A BKP equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 779-785.
    2. Gegenhasi, & Hu, Xing-Biao, 2007. "Integrability of a differential-difference KP equation with self-consistent sources," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(2), pages 145-158.

    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:wly:jnlamp:v:2015:y:2015:i:1:n:392723. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    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.