  We consider in this work a relativistic scalar field theory in a
$(1+1)$-Minkowski spacetime for a class of periodic potentials. These
potentials exhibit solutions known as kinks and antikinks with topological
charges, energy density, and mass dependent on the potential's parameters. We
break the symmetry from a vacuum expectation value ($vev$) zero for a non-zero
$vev$, which means that the supersymmetry (SUSY) has spontaneously broken.
