  A Rayleigh-Schr\"{o}dinger type of perturbation scheme is employed to study
weakly interacting kinks and domain walls formed from two different real scalar
fields $\chi$ and $\varphi$. An interaction potential $% V_{1}(\chi,\varphi)$
is chosen which vanishes in a vacuum state of either field. Approximate first
order corrections for the fields are found, which are associated with scalar
field condensates inhabiting the zeroth order topological solitons. The model
considered here presents several new and interesting features. These include
(1) a condensate of \textit{each} kink field inhabits the \textit{other} kink,
(2) the condensates contribute an associated mass to the system which vanishes
when the kinks overlap, (3) a resulting mass defect of the system for small
interkink distances allows the existence of a loosely bound state when the
interkink force is repulsive. An identification of the interaction potential
energy and forces allows a qualitative description of the classical motion of
the system, with bound states, along with scattering states, possible when the
interkink force is attractive. (4) Finally, the interaction potential
introduces a mixing and oscillation of the perturbative $\chi$ and $\varphi$
meson flavor states, which has effects upon meson-kink interactions.
