High-Order Binary Symmetry Constraints of a Liouville Integrable Hierarchy and Its Integrable Couplings  

作　　者：CHEN Lan-Xin SUN Ye-Peng ZHANG Jun-Xian 

机构地区：[1]China University of Mining and Technology, Beijing, 100083, China [2]Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China [3]Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, the Chinese Academy of Sciences P.O. Box 2719, Beijing 100080, China

出　　处：《Communications in Theoretical Physics》2008年第3期540-544,共5页理论物理通讯（英文版）

基　　金：supported by China Postdoctoral Science Foundation and National Natural Science Foundation of China under Grant No.10471139

摘　　要：A 3 × 3 matrix spectral problem and a Liouville integrable hierarchy are constructed by designing a new subalgebra of loop algebra A^-2. Furthermore, high-order binary symmetry constraints of the corresponding hierarchy are obtained by using the binary nonlinearization method. Finally, according to another new subalgebra of loop algebra A^-2, its integrable couplings are established.

关 键 词：Liouville integrable hierarchy loop algebra symmetry constraint binary nonlinearization integrable coupling 

分 类 号：O151[理学—数学]