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arXiv · 1309.6227

Resonant radiation shed by dispersive shock waves

Matteo Conforti·Fabio Baronio·Stefano Trillo
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Abstract

We show that dispersive shock waves resulting from the nonlinearity overbalancing a weak leading-order dispersion can emit resonant radiation owing to higher-order dispersive contributions. We analyze such phenomenon for the defocusing nonlinear Schroedinger equation, giving criteria for calculating the radiated frequency based on the estimate of the shock velocity, revealing also a diversity of possible scenarios depending on the order and magnitude of the dispersive corrections.

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Matteo Conforti, Fabio Baronio, Stefano Trillo. 2013-09-24. Resonant radiation shed by dispersive shock waves. https://doi.org/10.1103/physreva.89.013807

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