Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings  

作　　者：Jinghan Meng Wen-Xiu Ma 

机构地区：[1]Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA

出　　处：《Advances in Applied Mathematics and Mechanics》2013年第5期652-670,共19页应用数学与力学进展（英文）

基　　金：This work was supported by the Department of Mathematics and Statistics of the University of South Florida,the State Administration of Foreign Experts Affairs of China,the Natural Science Foundation of Shanghai(No.09ZR1410800);the National Natural Science Foundation of China(Nos.10971136,10831003,61072147 and 11071159);Chunhui Plan of the Ministry of Education of China.J.H.Meng and W.X.Ma/Adv.Appl.Math.Mech.,5(2013),pp.652-670669 References。

摘　　要：We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices,and form zero curvature equations from the presented loop algebras to generate bi-integrable couplings.Applications are made for the AKNS soliton hierarchy and Hamiltonian structures of the resulting integrable couplings are constructed by using the associated variational identities.

关 键 词：Bi-integrable couplings non-semisimple matrix loop algebras AKNS hierarchy Hamiltonian structure SYMMETRY 

分 类 号：O17[理学—数学]