Kink scattering in a Lorentz-violating ${\varphi }^6$ model

Abstract

The role played by a Lorentz-violating term on the outcomes of kink scattering in the ${\varphi }^6$ 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.

v2: published version; v1: 7 pages, 7 figures

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