A multi-component integrable hierarchy and its multi-component expanding integrable model

Wei Yuan and Yufeng Zhang

Chaos, Solitons & Fractals, 2007, vol. 31, issue 3, 611-616

Abstract: A set of multi-component matrix Lie algebra G1 is constructed, which is devoted to obtain a generalized loop algebra G∼1, then an isospectral problem is established. Specially in this paper, a new Lax multi-component integrable hierarchy containing an arbitrary positive integer M is obtained by choosing V with derivatives in x and spectral potentials. Then the multi-component expanding integrable model of the hierarchy obtained is presented by constructing the expanding loop algebra of G∼.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:3:p:611-616

DOI: 10.1016/j.chaos.2005.10.038

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