SOLITARY WAVE IN ONE-DIMENSIONAL MONOATOMIC CHAIN UNDER THE CONSIDERATION OF THE SECOND-NEIGHBORS INTERACTION
考虑次近邻相互作用下一维单原子链中的孤立波

Employing multiple scales method combined with a quasidiscreteness approximation, we investigate the wave motive equation in a one-dimensional homogeneous lattice chain with second-nearest neighbors interaction, and get a new linear dispers ion relation. The result shows that, taking into consideration the second neares t-neighbor interaction and quartic anharmonic interaction simultaneously, the on e-dimensional homogeneous lattice exhibits not only envelope soliton, kink and a ntikink, but also another non-linear elementary excitation in solitary wave form -the breather.