A new loop algebra and a multi-component integrable system similar to the TC hierarchy

Yuqin Yao

Chaos, Solitons & Fractals, 2005, vol. 24, issue 2, 627-630

Abstract: A new loop algebra X∼ with 3M dimensions is constructed by use of some properties of exterior algebra, which is devoted to establishing a new isospectral problem. As its application, a multi-component integrable system similar to the TC hierarchy is obtained, whose reduction case presents a multi-component KdV equation.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:2:p:627-630

DOI: 10.1016/j.chaos.2004.09.066

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