## ] o c n m p [## Open Communications in Nonlinear Mathematical Physics |

- 1 Gebze Technical University

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.

Source: HAL:hal-03334640v2

Volume: Volume 2

Published on: March 30, 2022

Accepted on: March 28, 2022

Submitted on: October 31, 2021

Keywords: [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]

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