Expansion of the Lie algebras and integrable couplings

Wang Yan and Yufeng Zhang

Chaos, Solitons & Fractals, 2008, vol. 38, issue 2, 541-547

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-dimension one. Here a higher-dimension 6×6 matrix Lie algebra is given, which can be used to directly construct integrable couplings of the soliton integrable systems. Finally, we obtain the integrable coupling of a new integrable system and apply the quadratic-form identity to it.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:2:p:541-547

DOI: 10.1016/j.chaos.2006.12.002

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