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A (2+1)-dimensional integrable hierarchy and its extending integrable model

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  • Zhang, Yufeng
  • Guo, Xiurong

Abstract

A loop algebra is constructed, whose subalgebra is first used to present a Lax pair. By making use of the Tu scheme by Tu Guizhang, a generalized (2+1)-dimensional KN hierarchy is worked out. Further, based on the associated relations between the subalgebras in the above loop algebra, an extending integrable model of the generalized (2+1)-dimensional KN hierarchy as above is produced.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:2:p:555-559
    DOI: 10.1016/j.chaos.2005.03.050
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    References listed on IDEAS

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    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.
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    Cited by:

    1. Zhang, Yufeng & Tam, Honwah, 2009. "Two explicit realizations of a Lie algebra," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2241-2245.
    2. Wang, Haifeng & He, Baiying, 2023. "2＋1 dimensional nonisospectral super integrable hierarchies associated with a class of extended Lie superalgebras," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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