  In this work, the probability uncertainties related to a stationary quantum
system with solitonic mass distribution when subjected to deformable hyperbolic
potentials are studied. Shannon's entropy and Fisher's information of a
position-dependent mass are calculated. To investigate the concept of Shannon
and Fisher entropies of the solitonic mass distribution subject to the
hyperbolic potential, it is necessary to obtain the analytic solutions at
position and momentum space. For the Hamiltonian operator to be Hermitian, we
consider the stationary Schr\"odinger equation ordered by Zhu-Kroemer. This
ordering is known to describe abrupt heterojunctions in semiconductor
materials.
