A solitary hierarchy of an integrable coupling and its Hamiltonian structure

A type of higher-dimensional loop algebra G∼ is constructed from which an isospectral problem is established. It follows that an integrable coupling, actually an extended integrable model of the existed solitary hierarchy of equations, is obtained by taking use of the zero curvature equation, whose Hamiltonian structure is worked out by employing the constructed quadratic identity. This method presented in the paper also suits for other soliton equations