Kink scattering in a Lorentz-violating $\phi^6$ model

TL;DR

This paper investigates how Lorentz-violating terms affect kink scattering in a $$ model, revealing novel collision features, shifts in critical velocities, and energy density behaviors through spectral analysis.

Contribution

It introduces the analysis of Lorentz-violating effects on kink dynamics in the $$ model, including multi-kink interactions and collision phenomena.

Findings

Lorentz violation alters critical velocities for kink collisions.

New features observed in kink-antikink collision outcomes.

Energy density maxima are affected by Lorentz-violating terms.

Abstract

The role played by a Lorentz-violating term on the outcomes of kink scattering in the $\phi^6$ model is investigated by using the Fourier spectral method. Impacts of the Lorentz-violating term on the critical velocities, the location of two-bounce windows, and the maximal values of various types of energy densities are analyzed. Some novel features of kink-antikink collisions are discussed. The interactions between three and four kinks are also considered.