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A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling

Author

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  • Zhang, Yufeng
  • Guo, Xiurong
  • Tam, Honwah

Abstract

A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, a new multi-component integrable hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that the binary integrable coupling systems are given. This method proposed in this paper can be used to other soliton hierarchies.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:1:p:114-124
    DOI: 10.1016/j.chaos.2005.03.034
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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.
    2. Li, Zhu & Dong, Huanhe, 2008. "A Liouville integrable system and its bi-Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 252-261.
    3. Yan, Wang & Zhang, Yufeng, 2008. "Expansion of the Lie algebras and integrable couplings," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 541-547.

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