Journal of Nonlinear Mathematical Physics

Volume 26, Issue 1, December 2018, Pages 133 - 146

Exact Pollard-like internal water waves

Authors
Mateusz Kluczek
School of Mathematical Sciences, Western Gateway Building, Western Road, University College Cork Cork, Ireland, m.kluczek@umail.ucc.ie
Received 24 July 2018, Accepted 6 September 2018, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2019.1544794How to use a DOI?
Keywords
Exact and explicit solution, geophysical, internal water waves
Abstract

In this paper we construct a new solution which represents Pollard-like three-dimensional nonlinear geophysical internal water waves. The Pollard-like solution includes the effects of the rotation of Earth and describes the internal water wave which exists at all latitudes across Earth and propagates above the thermocline. The solution is provided in Lagrangian coordinates. In the process we derive the appropriate dispersion relation for the internal water waves in a stable stratification and discuss the particles paths. An analysis of the dispersion relation for the constructed model identifies one mode of the internal water waves.

Copyright
© 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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 1
Pages
133 - 146
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2019.1544794How to use a DOI?
Copyright
© 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  - Mateusz Kluczek
PY  - 2021
DA  - 2021/01
TI  - Exact Pollard-like internal water waves
JO  - Journal of Nonlinear Mathematical Physics
SP  - 133
EP  - 146
VL  - 26
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2019.1544794
DO  - https://doi.org/10.1080/14029251.2019.1544794
ID  - Kluczek2021
ER  -