Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics, Fluids and plasma physics
Abstract
A model for the wave motion of an internal wave in the presence of current in the case of intermediate long wave approximation is studied. The lower layer is considerably deeper, with a higher density than the upper layer. The flat surface approximation is assumed. The fluids are incompressible and inviscid. The model equations are obtained from the Hamiltonian formulation of the dynamics in the presence of a depth-varying current. It is shown that an appropriate scaling leads to the integrable Intermediate Long Wave Equation (ILWE). Two limits of the ILWE leading to the integrable Benjamin-Ono and KdV equations are presented as well.
DOI
https://doi.org/10.1016/j.euromechflu.2020.07.001
Recommended Citation
Cullen, J. & Ivanov, R. (2020). On the intermediate long wave propagation for internal waves in the presence of currents, European Journal of Mechanics / B Fluids, 84, pp. 325–333. doi:10.1016/j.euromechflu.2020.07.001
Included in
Fluid Dynamics Commons, Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
European Journal of Mechanics / B Fluids 84 (2020) 325–333