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摘要
The two-component mu-Camassa-Holm equation, the mu-Camassa-Holm equation and the modified mu-Camassa-Holm equation are three nonlocal integrable models. In this paper, it is shown that the two-component mu-Camassa-Holm equation and the mu-Camassa-Holm equation with a linear dispersion admit a kind of nonlocal symmetries, and the modified mu-Camassa-Holm equation does not have such kind of nonlocal symmetry. An number of conservation laws to the modified mu-Camassa-Holm equation and mu-Camassa-Holm equation are obtained.
