The Anisotropic Characters in Two-Dimensional Lattice
The Anisotropic Characters in Two-Dimensional Lattice
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DOI：
10.1142/s0217979213610109
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发表时间：
2013-03
影响因子：
1.7
通讯作者：
Yang Yang-Yang;Mai-mai Lin;W. Duan
中科院分区：
文献类型：
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作者：
Yang Yang-Yang;Mai-mai Lin;W. Duan
本文研究了简立方晶格的各向异性特征。研究了线性波和非线性波在该晶格中的传播。对色散关系进行了数值研究。结果表明，色散关系强烈地依赖于波的传播方向。通常，波的方向具有相对于质点位移的倾角α。只有在某些特殊情况下才有纵波α=0或横波α=π/2。对该晶格中的非线性波也进行了研究。文中还给出了该晶格对非线性波的各向异性特征。对压缩和横向非线性孤子也进行了研究。研究了这两个孤子的振幅、宽度等特性。
The anisotropic characters of simple cubic lattice are investigated in this paper. Both the linear and nonlinear wave propagating in this lattice have been studied. The dispersion relation has been studied numerically. It is shown that the dispersion relation strongly depends on the directions of wave propagation. Generally, the direction of waves has the inclination angle α with respect to particle displacement. There are compressional waves α = 0 or transverse waves α = π/2 only for some special cases. The nonlinear waves in this lattice have also been studied. The anisotropic characters of this lattice for the nonlinear waves have also been shown. The compressional and transverse nonlinear solitons have also been studied. The characters of both solitons, such as amplitude and width, have been investigated.