论文标题
带有阶梯状不均匀性的媒体中的孤立波传播
Solitary wave propagation in media with step-like inhomogeneities
论文作者
论文摘要
我们考虑具有逐步不均匀性的媒体中的波传播。我们选择两个不同的协议：（i）耦合常数的逐步空间依赖性物理对应于两个系统的结，以及（ii）与淬火协议相对应的耦合常数的阶梯状时间依赖性。在这两种情况下，我们研究了$φ^4 $和正弦模型的孤立波的传播。由于拓扑保护，孤立波保留了其形式。这使我们能够对模型无关的预测其最终速度，这可以解释为“双曲线” Snell定律。
We consider the wave propagation in media with step-like inhomogeneities. We choose two different protocols: (I) a step-like spatial dependence of the coupling constant that physically corresponds to the junction of two systems and (II) the step-like time-dependence of the coupling constant that corresponds to a quench protocol. In both scenarios, we study the propagation of the solitary wave in $φ^4$ and the sine-Gordon model. Due to topological protection, the solitary wave retains its form. This allows us to give model-independent predictions about its final velocity, which can be interpreted as the "hyperbolic" Snell's law.
