,Multi-component Harry-Dym hierarchy and its integrable couplings as well as their Hamiltonian struc

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This paper obtains the multi-component Harry-Dym (H-D) hierarchy and its integrable couplings by using two kinds of vector loop algebras G3 and G6. The Hamiltonian structures of the above system are given by the quadratic-form identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.
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