  We study excitations of solitary waves -- the kinks -- in scalar models with
degree eight polynomial self-interaction in (1+1) dimensions. We perform
numerical studies of scattering of two kinks with an exponential asymptotic off
each other and analyse the occurring resonance phenomena. We connect these
phenomena to the energy exchange between the translational and the vibrational
modes of the colliding kinks. We also point out that the interaction of two
kinks with power-law asymptotic can lead to a long-range interaction between
the two kinks.
