An exact solution for geophysical internal waves with underlying current in modified equatorial β-plane approximation*
- 10.1080/14029251.2019.1640468How to use a DOI?
- Geophysical internal waves; modified β-plane; exact solution; mean velocity; mass flow; Lagrangian variables
In this paper, a modification of the standard geophysical equatorial β-plane model equations, incorporating a gravitational-correction term in the tangent plane approximation, is derived. We present an exact solution to meet the modified governing equations, whose form is explicit in the Lagrangian framework and which represents internal oceanic waves in the presence of a constant underlying current. It is rigorously established, that the solution is dynamically possible, by way of analytical and degree-theoretical considerations. In the sense that the mapping it prescribes from Lagrangian to Eulerian coordinates is a global diffeomorphism. In addition, the paper an analysis of the mean flow velocities and related mass transport are presented in this paper, they are induced by certain geophysical internal waves. In particular, we examine an exact solution to the geophysical governing equations in the modified β-plane approximation at the equator which incorporates a constant underlying current.
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Dong Su AU - Hongjun Gao PY - 2019 DA - 2019/07/09 TI - An exact solution for geophysical internal waves with underlying current in modified equatorial β-plane approximation* JO - Journal of Nonlinear Mathematical Physics SP - 579 EP - 603 VL - 26 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1640468 DO - 10.1080/14029251.2019.1640468 ID - Su2019 ER -