Analytic expressions of hydrothermal waves
Exactly Solvable and Integrable Systems
2014-06-26 v1 Pattern Formation and Solitons
Abstract
When subjected to a horizontal temperature difference, a fluid layer with a free surface becomes unstable and hydrothermal waves develop in the bulk. Such a system is modelized by two coupled amplitude equations of the one-dimensional, complex, cubic Ginzburg-Landau type. By transposing the method developed for one CGL3 equation, we obtain several new exact solutions expressed by closed form, singlevalued, analytic expressions. Some of them are the analogue of the famous amplitude hole solution of Bekki and Nozaki.
Keywords
Cite
@article{arxiv.nlin/0009022,
title = {Analytic expressions of hydrothermal waves},
author = {Robert Conte and Micheline Musette},
journal= {arXiv preprint arXiv:nlin/0009022},
year = {2014}
}
Comments
LaTeX, 12 pages, no figure, to appear, Reports on Math. Physics