摘要
我们把我们的注意限制为分离二维的单原子的 β-FPU 格子。我们由使用试一试的方法寻找二维的 breather 格子答案和二维的像协议的分离呼吸 ers 并且由使用 Aubry 的线性地稳定的理论分析他们的稳定性。我们在分离二维的单原子的 β-FPU 格子获得存在的条件和二维的 breather 格子答案和二维的像协议的分离呼吸 ers 的稳定性。
We restrict our attention to the discrete two-dimensional monatomic β-FPU lattice. We look for two- dimensional breather lattice solutions and two-dimensional compact-like discrete breathers by using trying method and analyze their stability by using Aubry's linearly stable theory. We obtain the conditions of existence and stability of two-dimensional breather lattice solutions and two-dimensional compact-like discrete breathers in the discrete two- dimensional monatomic β-FPU lattice.
基金
supported by National Natural Science Foundation of China under Grant No. 1057400
the Natural Science Foundation of Heilongjiang Province under Grant No. A200506
关键词
浮点运算
稳定性
紧凑型
单元格
二维
离散
呼吸
稳定理论
β-FPU lattice, two-dimensional breather lattice solution, two-dimensional compact-like discrete breather