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Editorial Type:
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Article Type:
Research Article

Some Three-Dimensional Nonlinear Equatorial Flows

Adrian Constantin1
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  • 1 King’s College London, London, United Kingdom
Print Publication:
01 Jan 2013
DOI:
https://doi.org/10.1175/JPO-D-12-062.1
Page(s):
165–175
Restricted access

Abstract

This study presents some explicit exact solutions for nonlinear geophysical ocean waves in the β-plane approximation near the equator. The solutions are provided in Lagrangian coordinates by describing the path of each particle. The unidirectional equatorially trapped waves are symmetric about the equator and propagate eastward above the thermocline and beneath the near-surface layer to which wind effects are confined. At each latitude the flow pattern represents a traveling wave.

Corresponding author address: Adrian Constantin, King’s College London, Strand, WC2R 2LS, London, United Kingdom. E-mail: adrian.constantin@kcl.ac.uk

Current affiliation: Faculty of Mathematics, University of Vienna, Vienna, Austria.

Abstract

This study presents some explicit exact solutions for nonlinear geophysical ocean waves in the β-plane approximation near the equator. The solutions are provided in Lagrangian coordinates by describing the path of each particle. The unidirectional equatorially trapped waves are symmetric about the equator and propagate eastward above the thermocline and beneath the near-surface layer to which wind effects are confined. At each latitude the flow pattern represents a traveling wave.

Corresponding author address: Adrian Constantin, King’s College London, Strand, WC2R 2LS, London, United Kingdom. E-mail: adrian.constantin@kcl.ac.uk

Current affiliation: Faculty of Mathematics, University of Vienna, Vienna, Austria.

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