Resonant radiation shed by dispersive shock waves
Pattern Formation and Solitons
2015-06-17 v1 Optics
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.
Keywords
Cite
@article{arxiv.1309.6227,
title = {Resonant radiation shed by dispersive shock waves},
author = {Matteo Conforti and Fabio Baronio and Stefano Trillo},
journal= {arXiv preprint arXiv:1309.6227},
year = {2015}
}