  The Bethe ansatz equations of the 1-D SU(3) Hubbard model are systematically
derived by diagonalizing the inhomogeneous transfer matrix of the XXX model. We
first derive the scattering matrix of the SU(3) Hubbard model through the
coordinate Bethe ansatz method. Then, with the help quantum inverse scattering
method we solve the nested transfer matrix and give the eigenvalues, the
eigenvectors and the Bethe ansatz equations. Finally, we obtain the exactly
analytic solution for the ground state.
