摘要
This paper obtains the multi-component Harry-Dym （HI）） hierarchy and its integrable couplings by using two kinds of vector loop algebras G^-3 and G^-6. The Hamiltonian structures of the above system are given by the quadraticform identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.
This paper obtains the multi-component Harry-Dym （HI）） hierarchy and its integrable couplings by using two kinds of vector loop algebras G^-3 and G^-6. The Hamiltonian structures of the above system are given by the quadraticform identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.
