Formation of rogue waves and modulational instability with zero-wavenumber gain in multi-component systems with coherent coupling
Pattern Formation and Solitons
2023-06-22 v2
Abstract
It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant interactions, we identify a specific RW-building mechanism based on MI which includes zero wavenumber in the gain band. An essential finding is that this mechanism works solely under a linear relation between the MI gain and a vanishingly small wavenumber of the modulational perturbation. The same mechanism leads to the creation of RWs by MI in other multi-component systems-in particular, in the massive Thirring model.
Keywords
Cite
@article{arxiv.2210.15795,
title = {Formation of rogue waves and modulational instability with zero-wavenumber gain in multi-component systems with coherent coupling},
author = {Lei Liu and Wen-Rong Sun and Boris A. Malomed},
journal= {arXiv preprint arXiv:2210.15795},
year = {2023}
}
Comments
To be published in Physical Review Letters