English

On the dynamics of internal waves interacting with the equatorial undercurrent

Mathematical Physics 2016-07-04 v1 math.MP Fluid Dynamics Geophysics

Abstract

The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes place. We show that the nonzero vorticity that might be occuring in other layers of the current does not affect the wave motion. The equations of motion are formulated as a Hamiltonian system.

Keywords

Cite

@article{arxiv.1510.04096,
  title  = {On the dynamics of internal waves interacting with the equatorial undercurrent},
  author = {Alan Compelli and Rossen Ivanov},
  journal= {arXiv preprint arXiv:1510.04096},
  year   = {2016}
}

Comments

11 pages, 1 figure, accepted in Journal of Nonlinear Mathematical Physics

R2 v1 2026-06-22T11:20:06.686Z