  We develop a general procedure to deal with defect structures in generalized
models, described by a single real scalar field, in (1,1) spacetime dimensions.
The models that we consider have the standard kinetic and potential
contributions modified to include corrections that depend on a single small
parameters, used to control modification on the kinematics and the potential.
We start with standard model that engenders stable defect structures, and we
show how to obtain new structures for the generalized models. We examine
distinct aspects of the new deformed solutions, including linear stability. We
work with several distinct modifications, and we show how to make the new
defect structures stable, controlled by the parameter that modify the standard
theory. We illustrate the procedure with examples of current interest to high
energy physics.
