ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT

We consider the propagation of equatorial waves of small amplitude, in a flow with an underlying non-uniform current. Without making the too restrictive rigid-lid approximation, by exploiting the available Hamiltonian structure of the problem, we derive the dispersion relation for the propagation of...

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Bibliographic Details
Published in:Open Communications in Nonlinear Mathematical Physics Vol. 2
Main Author: Novruzov, Emil
Format: Journal Article
Language:English
Published: International Society of Nonlinear Mathematical Physics 30.03.2022
Subjects:
[math.math-ds]mathematics [math]/dynamical systems [math.ds]
[math.math-mp]mathematics [math]/mathematical physics [math-ph]
Dynamical Systems
Mathematical Physics
Mathematics
ISSN:2802-9356, 2802-9356
Online Access:Get full text
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Summary:We consider the propagation of equatorial waves of small amplitude, in a flow with an underlying non-uniform current. Without making the too restrictive rigid-lid approximation, by exploiting the available Hamiltonian structure of the problem, we derive the dispersion relation for the propagation of coupled long-waves: a surface wave and an internal wave. Also, we investigate the above-mentioned model of wave-current interactions in the general case with arbitrary vorticities.
ISSN:2802-9356
2802-9356
DOI:10.46298/ocnmp.8631