Exact solutions for nonlinear trapped lee waves in the $\beta$-plane approximation
Dynamical Systems
2024-02-29 v1 Fluid Dynamics
Abstract
In this paper, we construct exact solutions that character three-dimensional, nonlinear trapped lee waves propagation superimposed on longitudinal atmospheric currents in the -plane approximation. The solutions obtained are presented in Lagrangian coordinates, and are Gerstner-like solutions. In the process, we also derive the dispersion relation and analyze the density, pressure and the vorticity qualitatively.
Keywords
Cite
@article{arxiv.2402.18000,
title = {Exact solutions for nonlinear trapped lee waves in the $\beta$-plane approximation},
author = {Lili Fan and Ruonan Liu and Heyang Li},
journal= {arXiv preprint arXiv:2402.18000},
year = {2024}
}