IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v40y2009i4p1867-1876.html
   My bibliography  Save this article

Constructing the multicomponent coupling Davey–Stewardson (DS) hierarchy with pseudodifferential operator

Author

Listed:
  • Yu, Fajun
  • Zhang, Hongqing

Abstract

Algebra of pseudodifferential operators for constructing the multicomponent Davey–Stewardson (DS) hierarchy of evolution equation is presented, then, we consider the Hamiltonian structure of the (1+2)-dimensional multicomponent DS equation hierarchy. Finally, the integrable coupling system of (1+2)-dimensional multicomponent DS hierarchy is obtained through enlarging matrix spectral problem.

Suggested Citation

  • Yu, Fajun & Zhang, Hongqing, 2009. "Constructing the multicomponent coupling Davey–Stewardson (DS) hierarchy with pseudodifferential operator," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1867-1876.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:1867-1876
    DOI: 10.1016/j.chaos.2007.09.069
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907008168
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2007.09.069?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, 2001. "A Liouville integrable Hamiltonian system associated with a generalized Kaup–Newell spectral problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 105-113.
    2. Yu, Fajun & Xia, Tiecheng & Zhang, Hongqing, 2006. "The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1036-1041.
    3. Qiao, Zhijun, 1998. "New hierarchies of isospectral and non-isospectral integrable NLEEs derived from the Harry–Dym spectral problem11The Project Partly Supported by NNSFC and PMTPPC," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(3), pages 377-387.
    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. Chao, Yue & Zhang, Yufeng, 2007. "A higher-dimensional multi-component integrable hierarchy and its integrable couplings," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1477-1484.
    2. Li, Zhu & Dong, Huanhe, 2008. "(2+1)-Dimensional Dirac hierarchy and its integrable couplings as well as multi-component integrable system," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 574-580.
    3. Li, Zhu & Dong, Huanhe, 2008. "A Liouville integrable system and its bi-Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 252-261.
    4. Guo, Fukui & Zhang, Yufeng, 2009. "A direct method for producing Hamiltonian structure of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 436-439.
    5. Haifeng Wang & Yufeng Zhang, 2020. "Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    6. Fan, Engui & Zhang, Yufeng, 2006. "Vector loop algebra and its applications to integrable system," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 966-971.
    7. Zhang, Yufeng & Guo, Xiurong, 2006. "A (2+1)-dimensional integrable hierarchy and its extending integrable model," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 555-559.
    8. Chao, Yue, 2007. "Using a multi-component loop algebra to obtain an integrable extension of the KN hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 940-944.
    9. Zhang, Yu-Feng & Nian, Si-Hong & Fan, En-Gui, 2007. "A solitary hierarchy of an integrable coupling and its Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 914-918.

    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:40:y:2009:i:4:p:1867-1876. 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.