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A few subalgebras of the Lie algebra A3 and a direct approach for obtaining integrable couplings

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  • Zhang, Yufeng
  • Tam, Honwah

Abstract

A few subalgebras of the Lie algebra A3 are constructed from which the corresponding loop algebras can be presented. It follows that an approach for directly producing integrable couplings is given. Two examples for illustrating the way are showed. Finally, their Hamiltonian structures are worked out by using the quadratic-form identity.

Suggested Citation

  • Zhang, Yufeng & Tam, Honwah, 2007. "A few subalgebras of the Lie algebra A3 and a direct approach for obtaining integrable couplings," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1424-1432.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:4:p:1424-1432
    DOI: 10.1016/j.chaos.2006.02.003
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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. You, Fucai & Xia, Tiecheng, 2008. "A new loop algebra A∼5 and its applications to integrable system," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1481-1488.
    3. Zhang, Jiao, 2009. "The integrable couplings of the Modified Jaulent–Miodek hierarchy and its Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 138-144.

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