Jiang Dong-chu

Lattice Model with Traveling Compactons

We introduce a purely anharmonic lattice model with specific double-well on-site potential, which admits traveling compacton-like solitary wave solutions by the inverse method with the help of Mathematica. By properly choosing the shape of the solitary wave solution of the system, we can calculate the parameters of the specific on-site potential. We also found that the localization of the compacton is related to the nonlinear coupling parameter and the potential parameter V0 of the on-site potential, and the velocity of the propagation of the compacton is determined by the localization parameter q and the potential parameter V0. Numerical calculation results demonstrate that the narrow compacton is unstable while the wide compacton is stable when they move along the lattice chain.

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 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 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.