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利用多重尺度法 ,研究了弱阻尼作用下一维非线性单原子链中的波动行为 ,发现在O(ε)级阻尼作用下其格波幅度减小 ,群速变慢 .在晶格动力学中导出了参数耗散型非线性Schr dinger方程 ,对方程进行解析求解 .结果表明 :在O(ε)级阻尼作用下一维非线性单原子链中的格孤波为传播的包络孤子 ;在O(ε2 )级阻尼作用下 ,格孤波为钟状或扭结的孤子 .
The multi-scale method was used to study the wave behavior in a one-dimensional nonlinear monatomic chain under the action of weak damping. It was found that the amplitude of the wave was reduced and the group velocity slowed down under the damping of O (ε) The nonlinear Schr dinger equation with dissipative parameters is deduced and the equation is solved. The results show that the soliton solitons propagating in the one-dimensional nonlinear monatomic chains under the damping of O (ε) Under O (ε2) damping, the lattice solitons are bell-shaped or kinked solitons.