Moving Compacton-like Kink in a Purely Anharmonic Lattice withSymmetric On-Site Potential

We study the moving compacton-like kink in the system of a purely anharmonic lattice with symmetric on-site potential by a direct algebraic method. It is found that the localization of the compactons is related to the nonlinear coupling parameter C_nl and the potential barrier height V₀ of the double well potential, and the velocity of the propagation of the compacton is determined by the localization parameter q and the potential barrier height V₀. Numerical calculation results demonstrate that the compacton is stable when it moves along the lattice chain.