The 3D solitons and vortices in 3D discrete monatomic lattices with cubic and quartic nonlinearity  

作　　者：徐权 田强 

机构地区：[1]Scientific and Technological Office, Daqing Normal University, Daqing 163712, China [2]Department of Physics, Beijing Normal University, Beijing 100875, China

出　　处：《Chinese Physics B》2006年第2期253-265,共13页中国物理B（英文版）

基　　金：Project supported by the Foundation for University Key Teachers by the Ministry of Education of China, the Scientific Research Fund of Heilongjiang Provincial Education Department （Grant No 10543080） and Natural Science Foundation of Heilongjiang Province, China （Grant No A200506）.

摘　　要：By virtue of the method of multiple-scale and the quasi-discreteness approach, we have discussed the nonlinear vibration equation of a 3D discrete monatomic lattice with its nearest-neighbours interaction. The 3D simple cubic lattices have the same localized modes as a 1D discrete monatomic chain with cubic and quartic nonlinearity. The nonlinear vibration in the 3D simple cubic lattice has 3D distorted solitons and 3D envelop solitons in the direction of kx = ky = kz = k and k = ±π/6α0 in the Brillouin zone, as well as has 3D vortices in the direction of kx = ky = kz = k and k = ±π/α0 in the Brillouin zone.By virtue of the method of multiple-scale and the quasi-discreteness approach, we have discussed the nonlinear vibration equation of a 3D discrete monatomic lattice with its nearest-neighbours interaction. The 3D simple cubic lattices have the same localized modes as a 1D discrete monatomic chain with cubic and quartic nonlinearity. The nonlinear vibration in the 3D simple cubic lattice has 3D distorted solitons and 3D envelop solitons in the direction of kx = ky = kz = k and k = ±π/6α0 in the Brillouin zone, as well as has 3D vortices in the direction of kx = ky = kz = k and k = ±π/α0 in the Brillouin zone.

关 键 词：3D simple cubic lattice Brillouin zone envelop soliton distorted soliton VORTICES 

分 类 号：O7[理学—晶体学]