  Recently, many new excited states of heavy mesons, especially the radially
excited states, are discovered. The study of the production processes of these
states from the ground b-flavored mesons is of interest. In this paper, we use
the improved Bethe-Salpeter method to study the semi-leptonic and non-leptonic
decays of $B$, $B_s$, and $B_c$ mesons, where the final states are focused on
the radial excited $2S$ and $3S$ states. We find that many channels have
branching ratios up to $10^{-4}$, which are within the detection accuracy of
current experiments.
