摘要
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2000年第9期1736-1740,共5页
Acta Physica Sinica
基金
国家自然科学基金!(批准号 :5 98710 44和 1970 410 0 )
湖南省教委科研基金资助&&
关键词
一维单原子链
非谐相互作用
弧立波
非线性物理
one-dimensional monoatomical chain, anharmonic interaction, solitary wave
