Abstract
A new discrete isospectral problem is introduced, from which the coupled discrete KdV hierarchy is deduced and is written in its Hamiltonian form by means of the trace identity. It is shown that each equation in the resulting hierarchy is Liouville integrable. Furthermore, an infinite number of conservation laws are shown explicitly by direct computation.
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Supported by Scientific Research Award Foundation for Shandong Provincial outstanding young and middle-aged scientists.
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Yang, H., Xu, X. Hamiltonian structure and infinite number of conservation laws for the coupled discrete KdV equations. Appl. Math. Chin. Univ. 19, 374–380 (2004). https://doi.org/10.1007/s11766-004-0003-3
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DOI: https://doi.org/10.1007/s11766-004-0003-3