  This work deals with lump-like structures in models described by a single
real scalar field in two-dimensional spacetime. We start with a model that
supports lump-like configurations and use the deformation procedure to
construct scalar field theories that support both lumps and kinks, with the
corresponding stability investigation giving rise to new physical systems. Very
interestingly, we find models that support stable topological solutions, with
the stability potential being able to support a tower of non-negative bound
states, generating distinct families of potentials of current interest to
quantum mechanics. We also describe models where the lump-like solutions give
rise to stability potentials that have the shape of a double-well.
