Integrable coupling of the Ablowitz–Ladik hierarchy and its Hamiltonian structure |
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| Authors: | Yuqin Yao Jie Ji Yuqing Liu Dengyuan Chen |
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| Institution: | 1. Department of Mathematics, Tsinghua University, Beijing 100084, PR China;2. College of Statistics and Computing Science, Zhejiang Gongshang University, Hangzhou 310018, PR China;3. Department of Mathematics, College of Science, Shanghai University, Shanghai 200444, PR China |
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| Abstract: | The trace identity is generalized to work for the discrete zero-curvature equation associated with the Lie algebra possessing degenerate Killing forms. Then a kind of integrable coupling of the Ablowitz–Ladik (AL) hierarchy is obtained and its Hamiltonian structure is worked out. Moreover, Liouville integrability of the integrable coupling is demonstrated. |
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