  We present an extension of the deformation method applied to self-dual
solutions of generalized Abelian Higgs-Chern-Simons models. Starting from a
model defined by a potential $V(| \phi |)$ and a non-canonical kinetic term
$\omega(| \phi |) | D_{\mu}\phi |^2$ whose analytical domain wall solutions are
known, we show that this method allows to obtain an uncountable number of new
analytical solutions of new models defined by other functions $\widetilde{V}$
and $\widetilde{\omega}$. We present some examples of deformation functions
leading to new families of models and their associated analytic solutions.
