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Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order |
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| Authors: | Yaning Tang Wen-Xiu MaLiang Gao |
| Institution: | a Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, PR China b Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA c Science Research Institute of China-North Group Company, Beijing 100089, PR China |
| Abstract: | 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. |
| Keywords: | Matrix spectral problem Integrable coupling hierarchy Hamiltonian structure Component trace identities |
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