计及次近邻作用时一维格子的非线性元激发  

NONLINEAR ELEMENTARY EXCITATION IN ONE-DIMENSIONAL LATTICE WITH SECOND NEAREST-NEIGHBOR INTERACTION

作　　者：冯培成[1] 王登龙[1] 唐翌[1] 

机构地区：[1]湘潭大学物理系

出　　处：《物理学报》2001年第6期1110-1114,共5页Acta Physica Sinica

基　　金：国家自然科学基金! (批准号 :5 98710 44和 10 0 0 5 0 0 7);湖南省自然科学基金! (批准号 :OOJJY2 0 0 7)资助的课题&&

摘　　要：同时考虑次近邻谐振相互作用和三次方、四次方非谐相互作用 ,利用多重尺度结合准离散近似方法去计算晶格振动行为 ,发现一维非线性点阵中存在包络孤子及正扭结型包络孤子、反扭结型包络孤子 。Considering the second nearest-neighbor interaction and cubic,quartic anharmonic interactions simultaneously, we employ the multiple scales method combined with a quasidiscreteness approximation to calculate the lattice vibration. It is shown that the kind of nonlinear chain exhibits envelope soliton,envelope kink and envelope antikink soliton. These results can also be used to explain the experimental phenomena that the kink amplitude of the self-localized structure is determined only by the intrinsic properties of its lattices.

关 键 词：非线性点阵 非谐相互作用 扭结型包络孤子 次近邻作用 晶格振动 一维格子 非线性元激发 多重尺度结合准离散近似方法 

分 类 号：O735[理学—晶体学]