Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations
Fluid Dynamics
2020-02-20 v2 Analysis of PDEs
Pattern Formation and Solitons
Classical Physics
Abstract
Some effects of surface tension on fully-nonlinear, long, surface water waves are studied by numerical means. The differences between various solitary waves and their interactions in subcritical and supercritical surface tension regimes are presented. Analytical expressions for new peaked travelling wave solutions are presented in the case of critical surface tension. The numerical experiments were performed using a high-accurate finite element method based on smooth cubic splines and the four-stage, classical, explicit Runge-Kutta method of order four.
Keywords
Cite
@article{arxiv.1702.03768,
title = {Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations},
author = {Denys Dutykh and Mark Hoefer and Dimitrios Mitsotakis},
journal= {arXiv preprint arXiv:1702.03768},
year = {2020}
}
Comments
42 pages, 27 figures, 1 table, 48 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/