IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v37y2008i5p1481-1488.html
   My bibliography  Save this article

A new loop algebra A∼5 and its applications to integrable system

Author

Listed:
  • You, Fucai
  • Xia, Tiecheng

Abstract

We construct a new loop algebra A∼5 which is used to set up a linear isospectral problem. By making use of Tu scheme, a new integrable couplings of the generalized MKdV hierarchy is obtained. Then its tri-Hamiltonian structure is constructed by the quadratic-form identity. Furthermore, we point out that the integrable couplings is integrable in the sense of Liouville.

Suggested Citation

  • You, Fucai & Xia, Tiecheng, 2008. "A new loop algebra A∼5 and its applications to integrable system," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1481-1488.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:5:p:1481-1488
    DOI: 10.1016/j.chaos.2006.10.058
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906010095
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.10.058?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.

    References listed on IDEAS

    as
    1. Zhang, Yufeng & Tam, Honwah, 2007. "A few subalgebras of the Lie algebra A3 and a direct approach for obtaining integrable couplings," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1424-1432.
    2. Xia, Tiecheng & You, Fucai, 2006. "A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 938-948.
    3. Xia, Tiecheng & You, Fucai, 2005. "The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 605-613.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. You, Fucai & Xia, Tiecheng, 2009. "Application of a semi-direct sum of Lie algebras to the TD hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2750-2755.

    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. Zhang, Jiao, 2009. "The integrable couplings of the Modified Jaulent–Miodek hierarchy and its Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 138-144.
    2. Tam, Hon-Wah & Zhang, Yufeng, 2009. "A new Lie algebra and soliton solutions, Bächlund transformation of soliton equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1670-1676.
    3. You, Fucai & Xia, Tiecheng, 2009. "Application of a semi-direct sum of Lie algebras to the TD hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2750-2755.

    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:37:y:2008:i:5:p:1481-1488. 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: 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.