Journal
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
Volume 84, Issue -, Pages 325-333Publisher
ELSEVIER
DOI: 10.1016/j.euromechflu.2020.07.001
Keywords
Internal waves; Equatorial undercurrent; Solitons; KdV equation; Benjamin-Ono equation; Intermediate Long Wave Equation
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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. (C) 2020 Elsevier Masson SAS. All rights reserved.
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