  The deformed model $\tilde{\varphi}^{(6)}$ is introduced based on the
$\varphi^4$ model using a deformation functional $F[\varphi]$ including a free
parameter $a$. The kink solutions in different sectors and their internal modes
are obtained as functions of the deformation parameter and their
characteristics are evaluated as well. It is shown that the kinks of the
deformed model inherit some of their dynamical properties (like internal modes)
from the standard $\varphi^4$ potential and some of their characteristics from
the $\varphi^6$ model. The dynamics of kink-antikink (antikink-kink) scattering
is investigated in different sectors with various kink initial conditions as
well as different values of deformation parameter. According to the kinks'
initial velocity, colliding kinks may be bound together or scatter from each
other after the interaction. These two situations are distinguished by the
critical velocity, which itself depends on the deformation parameter of the
model. Due to the difference in the rest mass of kink solutions related to
different sectors, interesting and sometimes rare phenomena are observed during
the kink scattering and their interactions.
