Time-localized dark modes generated by zero-wavenumber-gain modulational instability
Abstract
In this work we report on the emergence of a novel type of solitary waves, viz., time-localized solitons in integrable and non-integrable variants of the massive Thirring models and in the three-wave resonant-interaction system, which are models broadly used in plasmas, nonlinear optics and hydrodynamics. An essential finding is that the condition for the existence of time-localized dark solitons, which develop density dips in the course of time evolution, in these models coincides with the condition for the occurrence of the zero-wavenumber-gain (ZWG) modulational instability (MI). Systematic simulations reveal that, whenever the ZWG MI is present, patterns reminiscent of such solitons are generically excited from a chaotic background field as fragments within more complex patterns.
Cite
@article{arxiv.2303.08373,
title = {Time-localized dark modes generated by zero-wavenumber-gain modulational instability},
author = {Lei Liu and Wen-Rong Sun and Boris A. Malomed and P. G. Kevrekidis},
journal= {arXiv preprint arXiv:2303.08373},
year = {2023}
}
Comments
To be published in Phys. Rev. A