  The solitons and kinks of the generalized $sl(3, \IC)$ sine-Gordon (GSG)
model are explicitly obtained through the hybrid of the Hirota and dressing
methods in which the {\sl tau} functions play an important role. The various
properties are investigated, such as the potential vacuum structure, the
soliton and kink solutions, and the soliton masses formulae. As a reduced
submodel we obtain the double sine-Gordon model. Moreover, we provide the
algebraic construction of the $sl(3, \IC)$ affine Toda model coupled to matter
(Dirac spinor) (ATM) and through a gauge fixing procedure we obtain the
classical version of the generalized $sl(3, \IC)$ sine-Gordon model (cGSG)
which completely decouples from the Dirac spinors. In the spinor sector we are
left with Dirac fields coupled to cGSG fields. Based on the equivalence between
the U(1) vector and topological currents it is shown the confinement of the
spinors inside the solitons and kinks of the cGSG model providing an extended
hadron model for "quark" confinement.
