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A higher-dimensional multi-component integrable hierarchy and its integrable couplings

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  • Chao, Yue
  • Zhang, Yufeng

Abstract

By use of a (2+1)-dimensional zero-curvature equation and Tu scheme, a (2+1)-dimensional multi-component integrable hierarchy is obtained. As reduction cases, the (2+1)-dimensional Ablowitz–Kaup–Newell–Segur (AKNS) hierarchy and Kaup–Newell (KN) hierarchy are engendered, respectively. Taking advantage of the expanding loop algebra F∼M of the loop algebra G∼M, a type of expanding Lax integrable model of the above-mentioned (2+1)-dimensional multi-component integrable hierarchy, i.e. integrable couplings, is worked out.

Suggested Citation

  • Chao, Yue & Zhang, Yufeng, 2007. "A higher-dimensional multi-component integrable hierarchy and its integrable couplings," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1477-1484.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:4:p:1477-1484
    DOI: 10.1016/j.chaos.2005.11.101
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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.
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