The integrable open-boundary conditions for the model of three coupled
one-dimensional XY spin chains are considered in the framework of the
quantum inverse scattering method. The diagonal boundary K-matrices a
re found and a class of integrable boundary terms is determined. The b
oundary model Hamiltonian is solved by using the coordinate space Beth
e ansatz technique and Bethe ansatz equations are derived. (C) 1998 El
sevier Science B.V.