考虑次近邻相互作用下一维单原子链中的孤立波

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

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 .

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 dispersion relation. The result shows that, taking into consideration the second nearest\|neighbor interaction and quartic anharmonic interaction simultaneously, the one\|dimensional homogeneous lattice exhibits not only envelope soliton, kink and antikink, but also another non\|linear elementary excitation in solitary wave form-the breather.