Application of a semi-direct sum of Lie algebras to the TD hierarchy

Fucai You and Tiecheng Xia

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2750-2755

Abstract: We construct a Lie algebra G by using a semi-direct sum of Lie algebra G1 with Lie algebra G2. A direct application to the TD hierarchy leads to a novel hierarchy of integrable couplings of the TD hierarchy. Furthermore, the generalized variational identity is applied to Lie algebra G to obtain quasi-Hamiltonian structures of the associated integrable couplings.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2750-2755

DOI: 10.1016/j.chaos.2008.10.009

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