论文标题
双音调模型中的孤立振荡和多个反k-kink对
Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model
论文作者
论文摘要
我们在双正弦型型号的特定情况下研究了扭结 - 安提克克碰撞，具体仅取决于一个参数$ r $。大扭结的大型安提金克的散射过程显示了拓扑部门的变化。在某些参数间隔中，我们观察到了两种连接的效果：产生多达五个Antikink-kink对以及最多三个孤立振荡。小扭结的散射过程具有多种可能性：拓扑部门的变化，一次反弹碰撞，两弹性碰撞或bion状态的形成。特别是，尽管存在内部形状模式，但我们观察到了$ r $和速度的小值，形成错误的两弹性窗口以及抑制真正的两弹窗。
We study kink-antikink collisions in a particular case of the double sine-Gordon model depending on only one parameter $r$. The scattering process of large kink-antikink shows the changing of the topological sector. For some parameter intervals we observed two connected effects: the production of up to five antikink-kink pairs and up to three solitary oscillations. The scattering process for small kink-antikink has several possibilities: the changing of the topological sector, one-bounce collision, two-bounce collision, or formation of a bion state. In particular, we observed for small values of $r$ and velocities, the formation of false two-bounce windows and the suppression of true two-bounce windows, despite the presence of an internal shape mode.
