New matrix Lie algebra and its application

Xiaowu Jiang, Zhu Li and Huanhe Dong

Chaos, Solitons & Fractals, 2008, vol. 38, issue 3, 819-825

Abstract: A new matrix Lie algebra and its corresponding Loop algebra are constructed firstly, as its application, the multi-component NLS-MKdV equation hierarchy is obtained, then by use of trace identity the Hamiltonian structure of the above system is presented. Finally, the integrable couplings of the obtained system is worked out by the expanding matrix Loop algebra.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:3:p:819-825

DOI: 10.1016/j.chaos.2007.01.010

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