IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i2p541-547.html
   My bibliography  Save this article

Expansion of the Lie algebras and integrable couplings

Author

Listed:
  • Yan, Wang
  • Zhang, Yufeng

Abstract

We take the Lie algebra A1 as an example to illustrate a detail approach for expanding a finite dimensional Lie algebra into a higher-dimension one. Here a higher-dimension 6×6 matrix Lie algebra is given, which can be used to directly construct integrable couplings of the soliton integrable systems. Finally, we obtain the integrable coupling of a new integrable system and apply the quadratic-form identity to it.

Suggested Citation

  • Yan, Wang & Zhang, Yufeng, 2008. "Expansion of the Lie algebras and integrable couplings," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 541-547.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:541-547
    DOI: 10.1016/j.chaos.2006.12.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907000033
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.12.002?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. Fan, Engui & Zhang, Yufeng, 2005. "A simple method for generating integrable hierarchies with multi-potential functions," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 425-439.
    2. Zhang, Yufeng & Guo, Xiurong & Tam, Honwah, 2006. "A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 114-124.
    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. Li, Zhu & Dong, Huanhe, 2008. "A Liouville integrable system and its bi-Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 252-261.
    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. Fan, Engui & Zhang, Yufeng, 2006. "Vector loop algebra and its applications to integrable system," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 966-971.

    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:38:y:2008:i:2:p:541-547. 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.