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(2+1)-Dimensional Dirac hierarchy and its integrable couplings as well as multi-component integrable system

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  • Li, Zhu
  • Dong, Huanhe

Abstract

Under the frame of the (2+1)-dimensional zero curvature equation and Tu model, (2+1)-dimensional Dirac hierarchy is obtained. Again by use of the expanding loop algebra the integrable coupling system of the above hierarchy is given.

Suggested Citation

  • Li, Zhu & Dong, Huanhe, 2008. "(2+1)-Dimensional Dirac hierarchy and its integrable couplings as well as multi-component integrable system," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 574-580.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:574-580
    DOI: 10.1016/j.chaos.2006.09.033
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    References listed on IDEAS

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    1. Fan, Engui, 2001. "A Liouville integrable Hamiltonian system associated with a generalized Kaup–Newell spectral problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 105-113.
    2. Li, Zhu & Dong, Huanhe, 2008. "Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 290-295.
    3. Li, Zhu & Dong, Huanhe, 2008. "Integrable couplings of the Tu hierarchy and its Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 446-451.
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