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Exact Pollard-like internal water waves
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Date
2018-12-03
Authors
Kluczek, Mateusz
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Publisher
Taylor & Francis Group
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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.
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Keywords
Exact and explicit solution , Geophysical , Internal water waves
Citation
Kluczek, M. (2018) 'Exact Pollard-like internal water waves', Journal of Nonlinear Mathematical Physics, 26(1), pp. 133-146. doi:10.1080/14029251.2019.1544794
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Copyright
© 2018, Taylor & Francis Group. This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Nonlinear Mathematical Physics on 3 December 2018, available online: http://www.tandfonline.com/10.1080/14029251.2019.1544794