The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions

Fajun Yu, Tiecheng Xia and Hongqing Zhang

Chaos, Solitons & Fractals, 2006, vol. 27, issue 4, 1036-1041

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 TD 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 couplings system with five arbitrary functions of the multi-component TD hierarchy is worked out. The method can be applied to other nonlinear evolution equations hierarchies.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:4:p:1036-1041

DOI: 10.1016/j.chaos.2005.04.070

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