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Vector loop algebra and its applications to integrable system

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  • Fan, Engui
  • Zhang, Yufeng

Abstract

We propose a vector loop algebra and its extended loop algebra to obtain the dispersive long wave (DLW) hierarchy. By making use of the extended trace identity and the quadratic-form identity, the Hamiltonian structures of the DLW hierarchy and its integrable coupling are constructed respectively.

Suggested Citation

  • Fan, Engui & Zhang, Yufeng, 2006. "Vector loop algebra and its applications to integrable system," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 966-971.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:4:p:966-971
    DOI: 10.1016/j.chaos.2005.09.010
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    References listed on IDEAS

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    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. 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. 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.

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