Nonlinear waves on shallow water in the presence of a horizontal magnetic field
type: Item
instance of: scholarly article
title: Nonlinear waves on shallow water in the presence of a horizontal magnetic field
zbMATH Open document ID: 0557.76029
DOI: 10.1007/BF01090998
published in: Fluid Dynamics
publication date: 1983-01-01T00:00:00Z
review text: It is shown that long nonlinear waves on shallow water in the presence of a horizontal magnetic field can also be described by the Benjamin-Ono equation, and not by the Korteweg-de Vries equation, as in the case when there is no field. Moreover, in contrast to a soliton in a stratified fluid a soliton on shallow water in a horizontal magnetic field moves with a velocity less than the velocity of infinitely long perturbations of small amplitude. The dependence of the parameters of a soliton and a periodic wave on the intensity and direction of the unperturbed magnetic field is investigated.
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 3889110
zbMATH Keywords: ideal incompressible fluid with infinite conductivity
zbMATH Keywords: long nonlinear waves on shallow water
zbMATH Keywords: horizontal magnetic field
zbMATH Keywords: Benjamin-Ono equation
author: Krassimir D. Danov
author: Michael S. Ruderman
MaRDI profile type: Publication
cites work: Internal waves of permanent form in fluids of great depth
cites work: Solitary internal waves in deep water
cites work: Algebraic solitary waves in stratified fluids
cites work: Q5638625
full work available at URL: https://doi.org/10.1007/bf01090998
OpenAlex ID: W2061168376
description: scientific article; zbMATH DE number 3889110