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Solitary wave propagation in media with step-like inhomogeneities | | Mariya Lizunova
; Oleksandr Gamayun
; | | Date: |
7 Oct 2020 | | 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 $varphi^4$ 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. | | Source: | arXiv, 2010.03385 | | Services: | Forum | Review | PDF | Favorites | |
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