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

• 来源期刊: 中国物理（英文版）
• 关键词: 3D simple cubic lattice Brillouin zone envelop soliton distorted soliton vortices
• 年，卷（期）: 2006,（2）
• 页码范围: 253-265
• 页数: 13页
• 语种: 英文

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 ID 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/6a0 in the Brillouin zone, as well as has 3D vortices in the direction of kx = ky = kz = k and k =±π/a0 in the Brillouin zone.