Stable three-dimensional Langmuir vortex soliton
Pattern Formation and Solitons
2020-04-08 v1 Plasma Physics
Abstract
We present a numerical solution in the form of a three-dimensional (3D) vortex soliton in unmagnetized plasma in the model of the generalized Zakharov equations with saturating exponential nonlinearity. To find the solution with a high accuracy we use two-step numerical method combining the Petviashvili iteration procedure and the Newton-Kantorovich method. The vortex soliton with the topological charge turns out to be stable provided the nonlinear frequency shift exceeds a certain critical value. The stability predictions are verified by direct simulations of the full dynamical equation.
Cite
@article{arxiv.2004.03268,
title = {Stable three-dimensional Langmuir vortex soliton},
author = {Volodymyr M. Lashkin},
journal= {arXiv preprint arXiv:2004.03268},
year = {2020}
}