  In this work, kink-antikink collision in a two-dimensional Lorentz-violating
$\phi^4$ model is considered. It is shown that the Lorentz-violating term in
the proposed model does not affect the structure of the linear perturbation
spectrum of the standard $\phi^4$ model, and thus there exists only one
vibrational mode. The Lorentz-violating term impacts, however, the frequency
and spatial wave function of the vibrational mode. As a consequence, the
well-known results on $\phi^4$ kink-antikink collision will also change.
Collisions of kink-antikink pairs with different values of initial velocities
and Lorentz-violating parameters are simulated using the Fourier spectral
method. Our results indicate that models with larger Lorentz-violating
parameters would have smaller critical velocities $v_c$ and smaller widths of
bounce windows. Interesting fractal structures existing in the curves of
maximal energy densities of the scalar field are also found.
