Moving Compacton—like Kink in a Purely Anharmonic Lattice with Symmetric On—Site Potential

We study the moving compacton-like kink in the system of a purely anharmoinc lattice with symmetric onsite poential by a direct algebraic method.It is found that the localization of the compactons is related to the nonlinear coupling parameter Cnl 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.