Integrable Couplings of the (2+1)-dimensional JM Hierarchy and Its Hamiltonian Structure as well as the Multi-component JM Hierarchy

A(2+1)-dimensional JM hierarchy is generated from one of reduced equations of self-dual Yang-Mills equatinos.With the help of a proper loop algebra,the Hamiltonian structure of its expanding integrable model(actually,its integrable couplings)is put out by using the quadratic-form identity,which is Liouville intergrable.Which is more,a corresponding multi-component JM hierarchy is given.The method this paper mentioned can be widely used to other soliton hierarchies.