Nonlinear waves on shallow water in the presence of a horizontal magnetic field
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.
ideal incompressible fluid with infinite conductivity
scientific article; zbMATH DE number 3889110