  We present several one-parameter family of higher order field theory models
some of which admit explicit kink solutions with an exponential tail while
others admit explicit kink solutions with a power-law tail. Various properties
of these families of kink solutions are examined in detail. In particular for
models harboring kink solutions with a power-law tail, we show that there is no
gap between the zero mode and the beginning of the continuum in the kink
stability potential. Further, by applying the recent Manton formalism, we
provide estimates for the kink-kink and antikink-kink acceleration and hence
the ratio of the corresponding antikink-kink and kink-kink forces.
