Integrable couplings of the (2+1)-dimensional dispersive long wave hierarchy and its Hamiltonian structure

A higher loop algebra is constructed, from which the integrable couplings associated with the (2 + 1)-dimensional dispersive long wave hierarchy is obtained with the help of the (2 + 1) zero curvature equation generated from one of reduced equations of the self-dual Yang-Mills equations. Furthermore, the Hamiltonian structure of the integrable couplings is worked out by taking use of the variational identity. (C) 2010 Elsevier B.V. All rights reserved.