Solitary wave propagation in media with step-like inhomogeneities
Pattern Formation and Solitons
2020-10-23 v2 Other Condensed Matter
Abstract
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 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.
Keywords
Cite
@article{arxiv.2010.03385,
title = {Solitary wave propagation in media with step-like inhomogeneities},
author = {Mariya Lizunova and Oleksandr Gamayun},
journal= {arXiv preprint arXiv:2010.03385},
year = {2020}
}
Comments
Includes supplementary materials