  We consider the change in the asymptotic behavior of solutions of the type of
flat domain walls (i.e., kink solutions) in field-theoretic models with a real
scalar field. We show that when the model is deformed by a bounded deforming
function, the exponential asymptotics of the corresponding kink solutions
remain exponential, while the power-law ones remain power-law. However, the
parameters of these asymptotics, which are related to the wall thickness, can
change.
