SOLITONS IN A MONOATOMIC CHAIN WITH KAC–BAKER-LIKE LONG-RANGE INTERACTION POTENTIAL

Abstract

By using the method of multiple-scale and the continuum approximation, we study the nonlinear properties of a monoatomic chain with Kac–Baker-like long-range harmonic interaction. It is shown that the dispersion relation, the group velocity and the amplitude of solitons exhibit some new characters different from that of the nonlinear chain without Kac–Baker-like long-range harmonic interaction.