Moving and Interaction of Compact-like Pulses in Klein-Gordon Lattice System

We study the moving and interaction of the compact-like pulses 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 compact-like pulse is related to the nonlinear coupling parameter C_nl and the potential barrier height V₀ of the double well potential. The velocity of the moving compact-like pulse is determined by the linear coupling parameter C_l, the localization parameter q (the nonlinear coupling parameter C_nl) and the potential barrier height V₀. Numerical experiments demonstrate that appropriate C_l is not detrimental to a stable moving of the compact-like pulse. However, the head on interaction of two compact-like pulses in the lattice system with comparatively small C_l leads to the appearance of a discrete stationary localized mode and small amplitude nonlinear oscillation background, while moderate C_l results in the emergence of two moving deformed pulses with damping amplitude and decay velocity and radiating oscillations, and biggish C_l brings on the appearing of four deformed kinks with radiating oscillations and different moving velocities.