TY - JOUR
T1 - Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings
AU - Meng , Jinghan
AU - Ma , Wen-Xiu
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 652
EP - 670
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m12121
UR - https://global-sci.org/intro/article_detail/aamm/90.html
KW - Bi-integrable couplings, non-semisimple matrix loop algebras, AKNS hierarchy,
Hamiltonian structure, symmetry.
AB - <p style="text-align: justify;">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.</p>