A plethora of generalised solitary gravity-capillary water waves
Fluid Dynamics
2020-02-20 v3 Numerical Analysis
Pattern Formation and Solitons
Atmospheric and Oceanic Physics
Computational Physics
Abstract
The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, second, provides numerical evidences of the existence of an infinite number of generalised solitary waves (solitary waves with undamped oscillatory wings). Using conformal mapping, the unknown fluid domain, which is to be determined, is mapped into a uniform strip of the complex plane. In the transformed domain, a Babenko-like equation is then derived and solved numerically.
Keywords
Cite
@article{arxiv.1411.5519,
title = {A plethora of generalised solitary gravity-capillary water waves},
author = {Didier Clamond and Denys Dutykh and Angel Duran},
journal= {arXiv preprint arXiv:1411.5519},
year = {2020}
}
Comments
20 pages, 7 figures, 45 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/