A New Simple Method for Obtaining Integrable Hierarchies of Soliton Equations With Multicomponent Potential Functions

摘要：

A new simple method for obtaining integrable hierarchies of soli ton equations is proposed. First of all, a new loop algebra (G)M is constructed, whose commutation operation is clear as that in loop algebra (A)1. Second, by making use of Tu scheme, many of integrable hierarchies with multicomponent potential functions can be produced. As a specific application of our method, a multicomponent AKNS hierarchy is obtained. Finally, an expanding loop algebra (F)M of the loop algebra (G) is constructed. Taking advantage of (F)M above, a type of integrable coupling system of the multicomponent AKNS hierarchy is worked out.

关键词： loop algebra multicomponent integrable hierarchy integrable coupling

作者: Fukui Guo Yufeng Zhang Qingyou Yan

作者单位: School of Information Science and Engineering, Shandong University of Science and Technology, Taian Department of Economics and Statistics, Shandong Finance Institute, Jinan 250014, China

会议类型: 国际会议

会议名称: Shanghai International Symposium on Nonlinear Science & Application(Shanghai NSA03)(首届上海非线性科学及其应用学术会议)

会议地点: 上海

会议语种:英文

页码: 18-20

在线出版日期: 2003-11-09（万方平台首次上网日期，不代表论文的发表时间）