  Particle with position-dependent mass is a useful concept in the context of
semiconductor physics. We study a particle with the solitonic mass distribution
in two different forms of potential: the quartic and the symmetric potential.
We estimate the Shannon entropy and Fisher information associated with the
ground state of particle in these two scenarioes by obtaining the wave-function
from Zhu-Kroemer equation. The ground state of the particle in each case
satisfies the Bialynicki-Birula-Mycielski inequality. Upon comparing all four
models under consideration, we have observed that the Shannon entropy is
greater for the solitonic mass distribution when it is subjected to a quartic
potential.
