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A multi-component matrix loop algebra and the multi-component Kaup–Newell (KN) hierarchy, as well as its integrable coupling system

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  • Yuan, Wei
  • Zhang, Yufeng
  • Chao, Yue

Abstract

Construction of a type of multi-component matrix loop algebra is devoted to establishing an isospectral problem. By making use of Tu scheme, the integrable multi-component KN hierarchy of soliton equation is obtained. Further, the Hamiltonian structure of the Liouville integrable multi-component hierarchy is worked. Finally, an expanding loop algebra of the above algebra is presented, which is used to work out the multi-component integrable coupling system of the multi-component KN hierarchy that contains an arbitrary positive integer M.

Suggested Citation

  • Yuan, Wei & Zhang, Yufeng & Chao, Yue, 2007. "A multi-component matrix loop algebra and the multi-component Kaup–Newell (KN) hierarchy, as well as its integrable coupling system," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 473-479.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:2:p:473-479
    DOI: 10.1016/j.chaos.2005.10.021
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