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

Wei Yuan, Yufeng Zhang and Yue Chao

Chaos, Solitons & Fractals, 2007, vol. 31, issue 2, 473-479

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:2:p:473-479

DOI: 10.1016/j.chaos.2005.10.021

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