  A recently introduced recurrence-relation ansatz applied to the
Jaynes-Cummings-Hubbard model is here applied to the Bose-Hubbard model that
reduced the model to an easily soluble model. The results obtained for the
two-point density correlations resemble somewhat those obtained recently also
but in a much more complicated fashion. Our ansatz may be of value for the
solution of many-body quantum mechanical problems.
