关键词: zero curvature equations, integrable couplings, variational identities

Abstract: Based on a kind of non-semisimple Lie algebras, we establish a way to construct nonlinear continuous integrable couplings. Variational identities over the associated loop algebras are used to furnish Hamiltonian structures of the resulting continuous couplings.As an illustrative example of the scheme is given nonlinear continuous integrable couplings of the Yang hierarchy. 

Key words: zero curvature equations, integrable couplings, variational identities