{"docId":9268,"paperId":8631,"url":"https:\/\/ocnmp.episciences.org\/8631","doi":"10.46298\/ocnmp.8631","journalName":"Open Communications in Nonlinear Mathematical Physics","issn":"","eissn":"2802-9356","volume":[{"vid":628,"name":"Volume 2"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-03334640","repositoryVersion":2,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-03334640v2","dateSubmitted":"2021-10-31 19:18:34","dateAccepted":"2022-03-28 13:48:54","datePublished":"2022-03-30 12:51:10","titles":{"en":"ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT"},"authors":["Novruzov, Emil"],"abstracts":{"en":"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."},"keywords":["[MATH.MATH-DS]Mathematics [math]\/Dynamical Systems [math.DS]","[MATH.MATH-MP]Mathematics [math]\/Mathematical Physics [math-ph]"]}