@Article{AAMM-5-652, author = {Meng , Jinghan and Ma , Wen-Xiu}, title = {Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {5}, pages = {652--670}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m12121}, url = {http://global-sci.org/intro/article_detail/aamm/90.html} }