  In this work, we analyze a particle with position-dependent mass, with
solitonic mass distribution in a stationary quantum system, for the particular
case of the BenDaniel-Duke ordering, in a hyperbolic barrier potential. The
kinetic energy ordering of BenDaniel-Duke guarantees the hermiticity of the
Hamiltonian operator. We find the analytical solutions of the Schr\"odinger
equation and their respective quantized energies. In addition, we calculate the
Shannon entropy and Fisher information for the solutions in the case of the
lowest energy states of the system.
