考虑次近邻相互作用下一维单原子链中的孤立波

利用多重尺度法结合准不连续性近似，研究了涉及次近邻相互作用下的一维单原子链中的波动问题，得到了其新的色散关系.结果表明，在同时考虑次近邻相互作用和非谐相互作用的情况下，一维单原子链中不仅存在包络孤立波、扭状和反扭状孤立波，而且存在另一种孤立波形式的元激发——呼吸子. 关键词： 一维单原子链 非谐相互作用 孤立波

SOLITARY WAVE IN ONE-DIMENSIONAL MONOATOMIC CHAIN UNDER THE CONSIDERATION OF THE SECOND-NEIGHBORS INTERACTION

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.