  We provide examples of a large class of one dimensional higher order field
theories with kink solutions which asymptotically have a power-law tail either
at one end or at both ends. We provide analytic solutions for the kinks in a
few cases but mostly provide implicit solutions. We also provide examples of a
family of potentials with two kinks, both of which have power law tails either
at both ends or at one end. In addition, we show that for kinks with a power
law tail at one end or both the ends, there is no gap between the zero mode and
the continuum of the corresponding stability equation. This is in contrast to
the kinks with exponential tail at both the ends in which case there is always
a gap between the zero mode and the continuum.
