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The integrable couplings of the Modified Jaulent–Miodek hierarchy and its Hamiltonian structure

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  • Zhang, Jiao

Abstract

A new higher-dimensional matrix isospectral problem is proposed to construct the integrable couplings of the Modified Jaulent–Miodek (MJM) hierarchy. The Hamiltonian structure of the integrable couplings of the MJM hierarchy is worked out by a proper linear isomorphic map and the quadratic-form identity.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:138-144
    DOI: 10.1016/j.chaos.2007.07.022
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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. 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.
    3. 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.
    4. Guo, Fukui & Zhang, Yufeng, 2007. "The integrable coupling of the AKNS hierarchy and its Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1898-1902.
    5. Xia, Tiecheng & Jiao, Zhang & You, Fucai, 2007. "A new loop algebra and its application to the multi-component S-mKdV hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 870-878.
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