A general method for constructing vector integrable lattice systems |
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Authors: | Ruguang Zhou Na Li Jinyan Zhu |
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Affiliation: | School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, PR China |
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Abstract: | A method for generating vector-value integrable analogies of integrable lattice systems or integrable differential-difference equations is presented. The basic ingredient of the method is to insert permutation matrices. We formulate the zero-curvature representations and Hamiltonian structures of the resulting vector lattice systems. The effectiveness of the method is illustrated using some examples such as the Volterra lattice, the Belov–Chaltikian lattice, the Ablowitz–Ladik lattice and the Heisenberg ferromagnet lattice. |
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Keywords: | Vector integrable lattice system Permutation matrix Zero-curvature representation Hamiltonian structure |
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