A new nonlinear equation in the shallow water wave problem

In this 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 for weakly nonlinear, dispersive, and long wavelength limits. Some examples of soliton motion for various bottom shapes obtained in...

Full description

Saved in:
Bibliographic Details
Published in:Physica scripta 2014-05, Vol.89 (5), p.54026-7
Main Authors: Karczewska, Anna, Rozmej, Piotr, Rutkowski, ukasz
Format: Article
Language:English
Subjects:
Computer simulation
higher order KdV-type equation
Mathematical analysis
Mathematical models
Nonlinear equations
nonlinear waves
Nonlinearity
Shallow water
shallow water waves
Topography
Wavelengths
waves over topography
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this 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 for weakly nonlinear, dispersive, and long wavelength limits. Some examples of soliton motion for various bottom shapes obtained in numerical simulations according to the derived equation are presented.
ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/89/5/054026