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Expansion of the Lie algebras and integrable couplings

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  • 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
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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. 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.
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