A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling

摘要

A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, a new multi-component integrable hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that the binary integrable coupling systems are given. This method proposed in this paper can be used to other soliton hierarchies. (c) 2005 Published by Elsevier Ltd.