IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v36y2008i4p1113-1119.html
   My bibliography  Save this article

An extended trace identity and applications

Author

Listed:
  • Guo, Fukui
  • Zhang, Yufeng

Abstract

For the loop algebras in the form of non-square matrices, their commuting operations can be used to set up linear isospectral problems. In order to look for the Hamiltonian structures of the corresponding integrable evolution hierarchies of equations, an extended trace identity is obtained by means of commutators, which undoes the constraint on the known trace identity proposed by Tu [Guizhang Tu. The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. J Math Phys 1989;30(2):330–8], and has an obvious simplicity comparing with the quadratic-form identity given by Guo and Zhang [Fukui Guo, Yufeng Zhang. The quadratic-form identity for constructing the Hamiltonian structure of integrable systems. J Phys A 2005;38:8537–48] with the aspect of applications.

Suggested Citation

  • Guo, Fukui & Zhang, Yufeng, 2008. "An extended trace identity and applications," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1113-1119.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:1113-1119
    DOI: 10.1016/j.chaos.2006.08.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906007697
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.08.006?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 search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Yufeng & Wu, Lixin, 2015. "Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 561-574.

    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:eee:chsofr:v:36:y:2008:i:4:p:1113-1119. 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.