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A new loop algebra A∼5 and its applications to integrable system

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  • You, Fucai
  • Xia, Tiecheng

Abstract

We construct a new loop algebra A∼5 which is used to set up a linear isospectral problem. By making use of Tu scheme, a new integrable couplings of the generalized MKdV hierarchy is obtained. Then its tri-Hamiltonian structure is constructed by the quadratic-form identity. Furthermore, we point out that the integrable couplings is integrable in the sense of Liouville.

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  • 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.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:5:p:1481-1488
    DOI: 10.1016/j.chaos.2006.10.058
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    References listed on IDEAS

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    1. 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.
    2. Xia, Tiecheng & You, Fucai, 2006. "A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 938-948.
    3. Xia, Tiecheng & You, Fucai, 2005. "The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 605-613.
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    Cited by:

    1. You, Fucai & Xia, Tiecheng, 2009. "Application of a semi-direct sum of Lie algebras to the TD hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2750-2755.

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