The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system

Tiecheng Xia, Fa-Jun Yu and Dengyuan Chen

Chaos, Solitons & Fractals, 2005, vol. 23, issue 4, 1163-1167

Abstract: A new simple loop algebra G∼M is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component classical-Boussinesq hierarchy is obtained. Furthermore, an expanding loop algebra F∼M of the loop algebra G∼M is presented. Based on F∼M, the multi-component integrable coupling system of the multi-component classical-Boussinesq hierarchy is worked out. The method can be applied to other nonlinear evolution equations hierarchy.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:4:p:1163-1167

DOI: 10.1016/j.chaos.2004.06.005

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