Solitary wave propagation in media with step-like inhomogeneities

2020/10/07 by Mariya A. Lizunova, Oleksandr Gamayun, Lizunova, Mariya +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Nonlinear Photonic Systems #Other Condensed Matter (cond-mat.other) #Pattern Formation and Solitons (nlin.PS) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2010.03385

openalex publication_date 2020/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 φ⁴ 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.

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