A new multi-component hierarchy and its integrable expanding model

作者:Dong Huanhe*; Liang Xiangqian
来源:Chaos Solitons & Fractals, 2008, 38(2): 548-555.
DOI:10.1016/j.chaos.2006.12.003

摘要

A set of multi-component matrix Lie algebra is constructed, it follows that a type of new loop algebra is presented and multi-component integrable hierarchy is obtained. Furthermore, the loop algebra is expanded into a larger one and a type of integrable coupling system is worked out. As reduction of the hierarchy, some well-known hierarchy such as DNLS, KN, CLL hierarchy are established.