New nonlinear equation of KdV-type for a non-flat bottom
Pattern Formation and Solitons
2014-05-22 v1
Abstract
In the paper a new nonlinear equation describing shallow water waves with the topography of the bottom directly taken into account is derived. This equation is valid in the weakly nonlinear, dispersive and long wavelength limit. Some examples of soliton motion for various bottom shapes obtained in numerical simulations according to the derived equation are presented.
Keywords
Cite
@article{arxiv.1401.4261,
title = {New nonlinear equation of KdV-type for a non-flat bottom},
author = {Anna Karczewska and Piotr Rozmej and Łukasz Rutkowski},
journal= {arXiv preprint arXiv:1401.4261},
year = {2014}
}
Comments
16 pages, 10 figures