TY - JOUR
T1 - Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order
AU - Tang, Yaning
AU - Ma, Wen Xiu
AU - Xu, Wei
AU - Gao, Liang
PY - 2012/2
Y1 - 2012/2
N2 - We presented an integrable coupling hierarchy of a matrix spectral problem with arbitrary order zero matrix r by using semi-direct sums of matrix Lie algebra. The Hamiltonian structure of the resulting integrable couplings hierarchy is established by means of the component trace identities. As an example, when r is 2 × 2 zero matrix specially, the integrable coupling hierarchy and its Hamiltonian structure of the matrix spectral problem are computed.
AB - We presented an integrable coupling hierarchy of a matrix spectral problem with arbitrary order zero matrix r by using semi-direct sums of matrix Lie algebra. The Hamiltonian structure of the resulting integrable couplings hierarchy is established by means of the component trace identities. As an example, when r is 2 × 2 zero matrix specially, the integrable coupling hierarchy and its Hamiltonian structure of the matrix spectral problem are computed.
KW - Component trace identities
KW - Hamiltonian structure
KW - Integrable coupling hierarchy
KW - Matrix spectral problem
UR - https://www.scopus.com/pages/publications/80052377355
U2 - 10.1016/j.cnsns.2011.06.010
DO - 10.1016/j.cnsns.2011.06.010
M3 - 文章
AN - SCOPUS:80052377355
SN - 1007-5704
VL - 17
SP - 585
EP - 592
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 2
ER -