  A generalized Bogoliubov model of the Bose gas in the ground state is
proposed which properly takes into account both the long-range and short-range
spatial boson correlations. It concerns equilibrium characteristics and
operates with in-medium Schrodinger equations for the pair wave functions of
bosons being the eigenfunctions of the second-order reduced density matrix. The
approach developed provides reasonable results for a dilute Bose gas with
arbitrary strong interaction between particles (the 'strong-coupling' case) and
comes to the canonical Bogoliubov model in the weak-coupling regime.
