  A detailed analytic and numerical analysis of the interaction between two
bubble skyrmions has been carried out. Results from micromagnetic calculations
show a strong dependence of the parameters of the skyrmion magnetic profile as
a function of the magnetostatic interaction. The magnetic core and edge-width
sizes of the skyrmion increase or decrease depending on the relative position
between the skyrmions and the uniaxial perpendicular anisotropy. In particular,
when a magnetic disk is over another, there is a transition from a Bloch-like
skyrmion configuration to a N\'{e}el-like skyrmion configuration as the
distance between the disks decreases. This transition is due to the
magnetostatic interaction between them. Therefore, it is possible to stabilize
a bubble skyrmion with a N\'{e}el configuration without the
Dzyaloshinskii-Moriya interaction. Thus, these results can be used for the
parameters control of the skyrmions in magnetic spintronic devices that need to
use these configurations.
