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A GENERALIZED LEVI HIERARCHY AND ITS INTEGRABLE COUPLINGS

JIAO ZHANG

Department of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, P.R. China

College of Science, Liaoning University of Petroleum and Chemical Technology, Fushun, 113001, P.R. China

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and

XIAOLI WEI

College of Science, Liaoning University of Petroleum and Chemical Technology, Fushun, 113001, P.R. China

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https://doi.org/10.1142/S0217979210054452Cited by:1 (Source: Crossref)

Abstract

In this paper, by making use of the generalized Tu scheme, we consider an isospectral problem, and then a new integrable hierarchy is constructed. It is shown that the generalized Levi hierarchy can be obtained as a reduction. Further, integrable couplings of the generalized Levi hierarchy is produced based on an enlarging isospectral problem.

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