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

作者:Yuan Wei*; Zhang Yufeng
来源:Chaos Solitons & Fractals, 2007, 31(3): 611-616.
DOI:10.1016/j.chaos.2005.10.038

摘要

A set of multi-component matrix Lie algebra G(1) is constructed, which is devoted to obtain a generalized loop algebra (G) over tilde (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) over tilde.