Propagation and collision of compacton-like kinks in Klein—Gordon lattice system

We study the propagation and collision of the compacton-like kinks in the system of an anharmonic lattice with a double well on-site potential by a direct algebraic method and numerical experiments. It is found that the localization of the compacton-like kinks is related to the nonlinear coupling parameter C_nl and the potential barrier height V₀ of the double well potential. The velocity of the propagation of the compacton-like kinks is determined by the linear coupling parameter C_l , the nonlinear coupling parameter C_nl and the localization parameter q. Numerical experiments demonstrate that appropriate C_l is not detrimental to a stable propagation of the compacton-like kinks. However, the collision of compacton-like kinks and anti-kinks in the lattice with comparatively small C_l leads to the emergence of a discrete stationary breather and small amplitude nonlinear oscillation background, while moderate C_l results in the emergence of two deformed kinks with radiating oscillations and lower propagation velocities.