Deformation method for generalized Abelian Higgs-Chern-Simons models

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 $V(\mathrm{\mid }\varphi \mathrm{\mid })$ and a non-canonical kinetic term $\omega (\mathrm{\mid }\varphi \mathrm{\mid })\mathrm{\mid }{D}_{\mu }\varphi {\mathrm{\mid }}^2$ 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 $\tilde{V}$ and $\tilde{\omega }$. We present some examples of deformation functions leading to new families of models and their associated analytic solutions.