The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system

• 来源期刊: 中国物理（英文版）
• 关键词: loop algebra Tu hierarchy integrable couplings system
• 年，卷（期）: 2005,（2）
• 页码范围: 247-250
• 页数: 4页
• 语种: 英文

摘要

A new simple loop algebra GM is constructed, which is devoted to the establishing of an isospectral problem. By making use of the Tu scheme, the multi-component Tu hierarchy is obtained. Furthermore, an expanding loop algebra FM of the loop algebra GM is presented. Based on the FM, the multi-component integrable coupling system of the multi-component Tu hierarchy has been worked out. The method can be applied to other nonlinear evolution equation hierarchies.