Solitary Alfv\'en Waves
Solar and Stellar Astrophysics
2026-02-04 v2 High Energy Astrophysical Phenomena
Plasma Physics
Space Physics
Abstract
We present the solitary Alfv\'en wave, an exact nonlinear solution of the ideal magnetohydrodynamic (MHD) equations, and construct a three-dimensional numerical model -- an \emph{Alfv\'enon}. The model is characterized by an unperturbed far field, quasi-constant , and open field-line topology. Direct MHD simulations of the Alfv\'enon demonstrate remarkable stability, confirming that it behaves as a nonlinear solitary Alfv\'enic solution under ideal MHD evolution.
Cite
@article{arxiv.2512.02292,
title = {Solitary Alfv\'en Waves},
author = {Zesen Huang and Marco Velli and Chen Shi and Yuliang Ding},
journal= {arXiv preprint arXiv:2512.02292},
year = {2026}
}