  The solution to the impact-parameter dependent Balitsky-Kovchegov equation
with the collinearly improved kernel is studied in detail. The solution does
not present the phenomenon of Coulomb tails at large impact parameters that
have affected previous studies. The origin of this behaviour is explored
numerically. It is found to be linked to the fact that this kernel suppresses
large daughter dipoles. Solutions based on a physics motivated form of the
initial condition are used to compute predictions for structure functions of
the proton and the exclusive photo- and electroproduction of vector mesons. A
reasonable agreement is found when comparing to HERA and LHC data.
