Integrable couplings and Hamiltonian structures of the L-hierarchy and the T-hierarchy |
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| Institution: | 1. Department of Mathematics, University of Macau, Avenida da Universidade, Taipa, Macau;2. School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China;1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China;2. Department of Mathematics and Statistics, University of South Florida, Tampa 33620-5700, USA |
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| Abstract: | An algebraic system is constructed from which establishes two isospectral problems. By solving the zero curvature equations, two resulting integrable couplings of the Li hierarchy and Tu hierarchy are obtained, respectively. By making use of the quadratic-form identity, the Hamiltonian structures of the above integrable couplings are generated, which are Liouville integrable. |
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