Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order
Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order
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DOI：
10.1016/j.cnsns.2011.06.010
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发表时间：
2012-02
影响因子：
3.9
通讯作者：
Yaning Tang;W. Ma;W. Xu;Liang Gao
中科院分区：
文献类型：
--
作者：
Yaning Tang;W. Ma;W. Xu;Liang Gao
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.
