Expansion of the Lie algebra and its applications

Fukui Guo and Yufeng Zhang

Chaos, Solitons & Fractals, 2006, vol. 27, issue 4, 1048-1055

Abstract: We take the Lie algebra A1 as an example to illustrate a detail approach for expanding a finite dimensional Lie algebra into a higher-dimensional one. By making use of the late and its resulting loop algebra, a few linear isospectral problems with multi-component potential functions are established. It follows from them that some new integrable hierarchies of soliton equations are worked out. In addition, various Lie algebras may be constructed for which the integrable couplings of soliton equations are obtained by employing the expanding technique of the the Lie algebras.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:4:p:1048-1055

DOI: 10.1016/j.chaos.2005.04.073

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