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The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures

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  • You, Fucai
  • Xia, Tiecheng

Abstract

We construct a loop algebra A3∼, then a new 4×4 isospectral problem is presented. By making use of Tu scheme, the generalized coupled Burgers equation hierarchy is derived. Based on an expanding loop algebra F3∼ of the loop algebra A3∼, the integrable couplings of the generalized coupled Burgers hierarchy is worked out. Finally, the Hamiltonian structures of the integrable couplings of the generalized coupled Burgers hierarchy is obtained by the quadratic-form identity.

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  • You, Fucai & Xia, Tiecheng, 2008. "The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 953-960.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:953-960
    DOI: 10.1016/j.chaos.2006.07.029
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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.
    2. 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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