A new loop algebra A∼5 and its applications to integrable system

Fucai You and Tiecheng Xia

Chaos, Solitons & Fractals, 2008, vol. 37, issue 5, 1481-1488

Abstract: We construct a new loop algebra A∼5 which is used to set up a linear isospectral problem. By making use of Tu scheme, a new integrable couplings of the generalized MKdV hierarchy is obtained. Then its tri-Hamiltonian structure is constructed by the quadratic-form identity. Furthermore, we point out that the integrable couplings is integrable in the sense of Liouville.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:5:p:1481-1488

DOI: 10.1016/j.chaos.2006.10.058

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